Annals of Probability, ISSN 0091-1798, 03/2012, Volume 40, Issue 2, pp. 788 - 812

In this article we prove a maximal L-p-regularity result for stochastic convolutions, which extends Krylov's basic mixed L-p(L-q...

R-boundedness | Square function | Stochastic partial differential equations | Stochastic maximal L | Stochastic convolutions | calculus | regularity | stochastic convolutions | PARTIAL-DIFFERENTIAL-EQUATIONS | H-infinity-calculus | THEOREMS | stochastic partial differential equations | Stochastic maximal L-p-regularity | STATISTICS & PROBABILITY | square function | ELLIPTIC-OPERATORS | H∞-calculus | 35R60 | 47A60 | 47D06 | 42B25 | 35B65 | 42B37 | Stochastic maximal Lp-regularity | 60H15

R-boundedness | Square function | Stochastic partial differential equations | Stochastic maximal L | Stochastic convolutions | calculus | regularity | stochastic convolutions | PARTIAL-DIFFERENTIAL-EQUATIONS | H-infinity-calculus | THEOREMS | stochastic partial differential equations | Stochastic maximal L-p-regularity | STATISTICS & PROBABILITY | square function | ELLIPTIC-OPERATORS | H∞-calculus | 35R60 | 47A60 | 47D06 | 42B25 | 35B65 | 42B37 | Stochastic maximal Lp-regularity | 60H15

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 06/2019, Volume 570, pp. 225 - 244

Matrix-based centrality measures have enjoyed significant popularity in network analysis, in no small part due to our ability to rigorously analyze their...

Walk-regularity | Functions of matrices | Network analysis | Centrality | Graph entropy | MATHEMATICS | MATHEMATICS, APPLIED | PAGERANK | ENTROPIES | Computer science | Analysis | Graphs | Graph theory | Entropy | Parameter identification | Maximum entropy

Walk-regularity | Functions of matrices | Network analysis | Centrality | Graph entropy | MATHEMATICS | MATHEMATICS, APPLIED | PAGERANK | ENTROPIES | Computer science | Analysis | Graphs | Graph theory | Entropy | Parameter identification | Maximum entropy

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 2

In this paper we consider Lp-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal Lp-regularity...

Temporal weights | Analytic semigroup | Sobolev spaces | Stochastic maximal regularity

Temporal weights | Analytic semigroup | Sobolev spaces | Stochastic maximal regularity

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 03/2019, Volume 266, Issue 6, pp. 3654 - 3678

We consider the problem of maximal regularity for non-autonomous Cauchy problems {u (t)+A(t)u(t)=f(t),t∈(0,τ]u(0)=u...

Maximal regularity | Sobolev regularity | Non-autonomous evolution equations

Maximal regularity | Sobolev regularity | Non-autonomous evolution equations

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2012, Volume 44, Issue 3, pp. 1372 - 1414

We prove maximal L-p-regularity for the stochastic evolution equation dU(t) + AU(t) dt = F(t, U(t)) dt + B(t, U(t)) dW(H)(t), t is...

H8-functional calculus | Maximal L | R-boundedness | regularity | Stochastic evolution equations | Stochastic Navier-Stokes equations | H-INFINITY-CALCULUS | MATHEMATICS, APPLIED | maximal L-p-regularity | HOLOMORPHIC FUNCTIONAL-CALCULUS | H-infinity-functional calculus | CLOSED OPERATORS | ORNSTEIN-UHLENBECK OPERATOR | stochastic Navier Stokes equations | UMD BANACH-SPACES | NAVIER-STOKES EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | FOURIER MULTIPLIER THEOREMS | stochastic evolution equations | UNBOUNDED-DOMAINS | VOLTERRA-EQUATIONS

H8-functional calculus | Maximal L | R-boundedness | regularity | Stochastic evolution equations | Stochastic Navier-Stokes equations | H-INFINITY-CALCULUS | MATHEMATICS, APPLIED | maximal L-p-regularity | HOLOMORPHIC FUNCTIONAL-CALCULUS | H-infinity-functional calculus | CLOSED OPERATORS | ORNSTEIN-UHLENBECK OPERATOR | stochastic Navier Stokes equations | UMD BANACH-SPACES | NAVIER-STOKES EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | FOURIER MULTIPLIER THEOREMS | stochastic evolution equations | UNBOUNDED-DOMAINS | VOLTERRA-EQUATIONS

Journal Article

中国科学：数学英文版, ISSN 1674-7283, 2017, Volume 60, Issue 8, pp. 1461 - 1476

We investigate the regularity properties of discrete multisublinear fractional maximal operators,both in the centered and uncentered...

有界变差 | 分数次极大算子 | 非中心 | 离散 | 偏导数 | 点估计 | 正则性 | 分数次极大函数 | bounded variation | 42B25 | 46E35 | 26A45 | 39A12 | discrete multisublinear fractional maximal operator | discrete fractional maximal operator | continuity | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | END-POINT REGULARITY | BOUNDEDNESS | OPERATORS

有界变差 | 分数次极大算子 | 非中心 | 离散 | 偏导数 | 点估计 | 正则性 | 分数次极大函数 | bounded variation | 42B25 | 46E35 | 26A45 | 39A12 | discrete multisublinear fractional maximal operator | discrete fractional maximal operator | continuity | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | END-POINT REGULARITY | BOUNDEDNESS | OPERATORS

Journal Article

IEEE Transactions on Image Processing, ISSN 1057-7149, 09/1999, Volume 8, Issue 9, pp. 1293 - 1297

.... The algorithm estimates the regularity of edges by measuring the decay of wavelet transform coefficients across scales and preserves the underlying regularity by extrapolating a new subband...

Wavelet transforms | Maximum a posteriori estimation | Interpolation | PSNR | Filtering | Nonlinear filters | Polynomials | Spline | Image enhancement | Finite difference methods | Hölder regularity | Wavelet decay | Coefficient decay | Image interpolation | COMPUTER SCIENCE, SOFTWARE ENGINEERING | image interpolation | wavelet decay | COMPUTER SCIENCE, THEORY & METHODS | Holder regularity | coefficient decay | ENGINEERING, ELECTRICAL & ELECTRONIC | Image coding | Usage | Image processing | Methods | Extrapolation | Noise levels | Algorithms | Images | Preserves | Continuity | Regularity

Wavelet transforms | Maximum a posteriori estimation | Interpolation | PSNR | Filtering | Nonlinear filters | Polynomials | Spline | Image enhancement | Finite difference methods | Hölder regularity | Wavelet decay | Coefficient decay | Image interpolation | COMPUTER SCIENCE, SOFTWARE ENGINEERING | image interpolation | wavelet decay | COMPUTER SCIENCE, THEORY & METHODS | Holder regularity | coefficient decay | ENGINEERING, ELECTRICAL & ELECTRONIC | Image coding | Usage | Image processing | Methods | Extrapolation | Noise levels | Algorithms | Images | Preserves | Continuity | Regularity

Journal Article

Journal of Evolution Equations, ISSN 1424-3199, 6/2015, Volume 15, Issue 2, pp. 361 - 402

In this paper, we prove maximal regularity estimates in “square function spaces” which are commonly used in harmonic analysis, spectral theory, and stochastic analysis...

Evolution equations | {H^{\infty}}$$ H ∞ -functional calculus | Analysis | Stochastic convolution | {\gamma}$$ γ -spaces | Maximal regularity | Mathematics | {\gamma}$$ γ -boundedness | γ-spaces | H ∞ -functional calculus | γ-boundedness

Evolution equations | {H^{\infty}}$$ H ∞ -functional calculus | Analysis | Stochastic convolution | {\gamma}$$ γ -spaces | Maximal regularity | Mathematics | {\gamma}$$ γ -boundedness | γ-spaces | H ∞ -functional calculus | γ-boundedness

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 12/2015, Volume 259, Issue 11, pp. 6399 - 6431

This paper establishes boundary estimates for solutions to the parabolic Monge-Ampère equation -u t +(detD 2 u) 1/n =f(x,t).

MATHEMATICS | MAXIMUM

MATHEMATICS | MAXIMUM

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 09/2012, Volume 364, Issue 9, pp. 4801 - 4818

... ∊ BMO, and naturally, developing a regularity theory of commutators for Morrey-Sobolev spaces I α (L p,λ...

Interpolation | Mathematical theorems | Integrands | Mathematical integrals | Higher order derivatives | Cubes | Mathematical inequalities | Mathematical functions | Commutators | Morrey-Sobolev spaces | Choquet integrals | Fractional laplacians | Weights | Riesz integrals | Traces | Maximal operators | SPACES | INEQUALITY | traces | EQUATIONS | maximal operators | POTENTIALS | weights | MATHEMATICS | fractional Laplacians | commutators | OPERATORS

Interpolation | Mathematical theorems | Integrands | Mathematical integrals | Higher order derivatives | Cubes | Mathematical inequalities | Mathematical functions | Commutators | Morrey-Sobolev spaces | Choquet integrals | Fractional laplacians | Weights | Riesz integrals | Traces | Maximal operators | SPACES | INEQUALITY | traces | EQUATIONS | maximal operators | POTENTIALS | weights | MATHEMATICS | fractional Laplacians | commutators | OPERATORS

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 7/2012, Volume 25, Issue 3, pp. 827 - 862

Hausdorff measures | Harmonic functions | Mathematical theorems | Tangent planes | Mathematical constants | Maximum principle | Mathematical functions | Mathematical inequalities | Borel measures | MATHEMATICS | Ahlfors regular domain | BEHAVIOR | HYPERSURFACES | HARMONIC-FUNCTIONS | LIPSCHITZ-DOMAINS | regularity | free boundary regularity | Reifenberg flat domain | SINGULAR-INTEGRALS | p-harmonic function | POISSON KERNEL

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 05/2013, Volume 254, Issue 10, pp. 4194 - 4216

In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD...

Magnetohydrodynamics | Generalized diffusion | Global regularity | DISSIPATION | MAXIMUM PRINCIPLE | DIRECTION | WELL-POSEDNESS | EULER-BOUSSINESQ SYSTEM | MHD EQUATIONS | MATHEMATICS | NAVIER-STOKES EQUATIONS | QUASI-GEOSTROPHIC EQUATIONS | DIFFUSION | CRITERION | Fluid dynamics | Magnetic fields

Magnetohydrodynamics | Generalized diffusion | Global regularity | DISSIPATION | MAXIMUM PRINCIPLE | DIRECTION | WELL-POSEDNESS | EULER-BOUSSINESQ SYSTEM | MHD EQUATIONS | MATHEMATICS | NAVIER-STOKES EQUATIONS | QUASI-GEOSTROPHIC EQUATIONS | DIFFUSION | CRITERION | Fluid dynamics | Magnetic fields

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2015, Volume 43, Issue 11, pp. 4674 - 4697

... ** and study Arens regularity of R in the context of duality of modules. We characterize Arens regular algebras over fields.

Arens products | Primary: 16S50 | Injective cogenerator | Morita duality | Secondary: 16D40 | Maximal ring of quotients | Flat module | DENSITY | MATHEMATICS | THEOREM | ENDOMORPHISM-RINGS | Regularity | Modules

Arens products | Primary: 16S50 | Injective cogenerator | Morita duality | Secondary: 16D40 | Maximal ring of quotients | Flat module | DENSITY | MATHEMATICS | THEOREM | ENDOMORPHISM-RINGS | Regularity | Modules

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 03/2018, Volume 38, Issue 3, pp. 1365 - 1403

We study the equations partial derivative(t)u(t, n) = Lu(t, n) + f (u(t, n), n); partial derivative(t)u(t, n) = iLu(t, n) + f(u(t, n), n) and partial...

Nagumo | Semidiscrete equations | Fractional discrete Laplacian | Fisher-KPP equations | Hölder-Lebesgue regularity | Bessel functions | Almost periodic solutions | EXISTENCE | MATHEMATICS, APPLIED | almost periodic solutions | fractional discrete Laplacian | DIFFERENTIAL-EQUATIONS | Holder-Lebesgue regularity | TRAVELING-WAVES | MATHEMATICS | Nagumo and Fisher-KPP equations | MAXIMAL REGULARITY | DISCRETE | DYNAMICS

Nagumo | Semidiscrete equations | Fractional discrete Laplacian | Fisher-KPP equations | Hölder-Lebesgue regularity | Bessel functions | Almost periodic solutions | EXISTENCE | MATHEMATICS, APPLIED | almost periodic solutions | fractional discrete Laplacian | DIFFERENTIAL-EQUATIONS | Holder-Lebesgue regularity | TRAVELING-WAVES | MATHEMATICS | Nagumo and Fisher-KPP equations | MAXIMAL REGULARITY | DISCRETE | DYNAMICS

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 12/2015, Volume 288, Issue 17-18, pp. 2079 - 2092

...‐ maximal regularity of solutions for the problem (*)Δαu(n)=Tu(n)+f(n),n∈Z+,0<α≤1;u(0)=0,solely in terms of the R...

43A15 | UMD spaces | 39A12 | 39A06 | Fractional differences | maximal regularity | R‐boundedness | R-boundedness

43A15 | UMD spaces | 39A12 | 39A06 | Fractional differences | maximal regularity | R‐boundedness | R-boundedness

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2016, Volume 54, Issue 6, pp. 3600 - 3624

It is shown that for a parabolic problem with maximal L-p-regularity (for 1 < p infinity), the time discretization by a linear multistep method or Runge-Kutta method has maximal l...

Maximal regularity | Parabolic equations | Runge-Kutta methods | Multistep methods | A-stability | MATHEMATICS, APPLIED | CONVOLUTION QUADRATURE | SPACES | EQUATIONS | multistep methods | Runge Kutta methods | FINITE-ELEMENT OPERATORS | maximal regularity | L-P-REGULARITY | SCHEME | FOURIER MULTIPLIER THEOREMS | DISCRETE | ERROR ANALYSIS | DIFFUSION | parabolic equations

Maximal regularity | Parabolic equations | Runge-Kutta methods | Multistep methods | A-stability | MATHEMATICS, APPLIED | CONVOLUTION QUADRATURE | SPACES | EQUATIONS | multistep methods | Runge Kutta methods | FINITE-ELEMENT OPERATORS | maximal regularity | L-P-REGULARITY | SCHEME | FOURIER MULTIPLIER THEOREMS | DISCRETE | ERROR ANALYSIS | DIFFUSION | parabolic equations

Journal Article

Potential Analysis, ISSN 0926-2601, 2/2019, Volume 50, Issue 2, pp. 279 - 326

.... The key idea is an iterative application of the theory about maximal L p - regularity for semilinear stochastic evolution equations by Van Neerven, Veraar and Weis...

65J08 | 58D25 | 60H30 | 76A05 | Probability Theory and Stochastic Processes | Mathematics | Blow-up alternative | 35K59 | Quasilinear stochastic equations | Non-Newtonian fluids | 35K57 | Stochastic maximal L p -regularity | Stochastic reaction diffusion equation | Functional calculus | Geometry | Stochastic evolution equations in Banach spaces | Potential Theory | Functional Analysis | 35Q35 | 60H15 | Stochastic maximal L | regularity | H-INFINITY-CALCULUS | EXISTENCE | 2ND-ORDER | INTERPOLATION | MATHEMATICS | PARTIAL-DIFFERENTIAL-EQUATIONS | SQUARE-ROOT PROBLEM | THEOREMS | Stochastic maximal L-p-regularity | BOUNDARY | OPERATORS

65J08 | 58D25 | 60H30 | 76A05 | Probability Theory and Stochastic Processes | Mathematics | Blow-up alternative | 35K59 | Quasilinear stochastic equations | Non-Newtonian fluids | 35K57 | Stochastic maximal L p -regularity | Stochastic reaction diffusion equation | Functional calculus | Geometry | Stochastic evolution equations in Banach spaces | Potential Theory | Functional Analysis | 35Q35 | 60H15 | Stochastic maximal L | regularity | H-INFINITY-CALCULUS | EXISTENCE | 2ND-ORDER | INTERPOLATION | MATHEMATICS | PARTIAL-DIFFERENTIAL-EQUATIONS | SQUARE-ROOT PROBLEM | THEOREMS | Stochastic maximal L-p-regularity | BOUNDARY | OPERATORS

Journal Article

Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 12/2018, Volume 20, Issue 4, pp. 1889 - 1909

.../s00021-018-0395-0 Fluid Mechanics Does Fluid Interaction Aﬀect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Michael Winkler Communicated...

35B65 (primary) | Mathematical Methods in Physics | Stokes | Fluid- and Aerodynamics | Classical and Continuum Physics | 35Q35 | Boundedness | Maximal Sobolev regularity | Chemotaxis | 92C17 (secondary) | Physics | 35Q92 | TENSOR-VALUED SENSITIVITY | GLOBAL EXISTENCE | CHEMOTAXIS-STOKES SYSTEM | PHYSICS, FLUIDS & PLASMAS | STABILIZATION | NONLINEAR DIFFUSION | MODEL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BLOW-UP | WEAK SOLUTIONS | AGGREGATION | Mathematics - Analysis of PDEs

35B65 (primary) | Mathematical Methods in Physics | Stokes | Fluid- and Aerodynamics | Classical and Continuum Physics | 35Q35 | Boundedness | Maximal Sobolev regularity | Chemotaxis | 92C17 (secondary) | Physics | 35Q92 | TENSOR-VALUED SENSITIVITY | GLOBAL EXISTENCE | CHEMOTAXIS-STOKES SYSTEM | PHYSICS, FLUIDS & PLASMAS | STABILIZATION | NONLINEAR DIFFUSION | MODEL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BLOW-UP | WEAK SOLUTIONS | AGGREGATION | Mathematics - Analysis of PDEs

Journal Article

Analysis and PDE, ISSN 2157-5045, 2018, Volume 11, Issue 5, pp. 1143 - 1169

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2018, Volume 41, pp. 53 - 65

.... This paper establishes the global regularity of solutions to the 2D almost resistive MHD equations, which require the dissipative operators L weaker than any power of the fractional Laplacian...

Nonlinear maximal principles | Global regularity | Almost resistive MHD equations | DISSIPATION | MATHEMATICS, APPLIED | MAGNETOHYDRODYNAMICS | Information science

Nonlinear maximal principles | Global regularity | Almost resistive MHD equations | DISSIPATION | MATHEMATICS, APPLIED | MAGNETOHYDRODYNAMICS | Information science

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.