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Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2018, Volume 50, Issue 3, pp. 3172 - 3209
The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP... 
Strichartz estimate | Burgers equation | KP equations | Ill-posedness | Dispersion | Well-posedness | EXISTENCE | MATHEMATICS, APPLIED | INSTABILITY | well-posedness | STABILITY | ill-posedness | SMOOTHING PROPERTIES | GLOBAL WELL-POSEDNESS | BURGERS | INTERNAL WAVES | INITIAL-VALUE PROBLEM | SOLITARY-WAVE SOLUTIONS | BLOW-UP | dispersion
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 77, Issue 1, pp. 105 - 124
In this paper, we develop multigrid solvers for the biharmonic problem in the framework of isogeometric analysis (IgA... 
Isogeometric analysis | Biharmonic problem | Robust multigrid | MATHEMATICS, APPLIED | Solvers | Robustness (mathematics) | Multigrid methods | Splines | Smoothing | Mathematics - Numerical Analysis
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 12, pp. 8138 - 8177
We consider the Cauchy problem in Rn for quasilinear thermoelastic Kirchhoff-type plate equations where the heat conduction is modeled by either the Cattaneo law or by the Fourier law... 
Global existence | Fourier and Cattaneo law | Quasilinear thermoelastic plate | Inertial term | Cauchy problem | MATHEMATICS | EXTERIOR DOMAINS | EXPONENTIAL STABILITY | SMOOTHING PROPERTIES | SYSTEMS
Journal Article
Assessment (Odessa, Fla.), ISSN 1552-3489, 2016, Volume 25, Issue 1, pp. 112 - 125
.... We propose a new approach for producing continuous test norms to address these problems that also has the added advantage of not requiring assumptions about the distribution of the raw data... 
norm generation | data smoothing | curve fitting | continuous norming | norm scores | CENTILE CURVES | WAIS-R | MODEL | PSYCHOLOGY, CLINICAL | Reproducibility of Results | Age Distribution | Age Factors | Humans | Child, Preschool | Terminology as Topic | Male | Reference Values | Young Adult | Regression Analysis | Adolescent | Psychometrics - methods | Statistics, Nonparametric | Adult | Female | Child
Journal Article
Inverse Problems, ISSN 0266-5611, 10/2013, Volume 29, Issue 10, pp. 104001 - 28
In this paper we prove some results on interior transmission eigenvalues. First, under reasonable assumptions, we prove that the spectrum is a discrete... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | OPERATORS | Lower bounds | Operators | Inverse problems | Smoothing | Refraction | Eigenvalues | Eigenfunctions | Spectra | Estimates
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2017, Volume 263, Issue 8, pp. 5120 - 5150
In this paper, we study the Cauchy problem for the radially symmetric homogeneous non-cutoff Boltzmann equation with Maxwellian molecules, the initial datum belongs to Shubin space of the negative... 
Boltzmann equation | Shubin class initial datum | Gelfand–Shilov smoothing effect | Cauchy problem | MATHEMATICS | Gelfand-Shilov smoothing effect | REGULARITY | LANDAU | Analysis of PDEs | Mathematics
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2017, Volume 110, Issue 3, pp. 203 - 226
Journal Article
The American Mathematical Monthly, ISSN 1930-0972, 2018, Volume 108, Issue 6, pp. 512 - 521
... for it. The method and the error bound can be interpreted as an instance of one of the most important results in regularization theory for ill-posed problems. 
Error rates | Boundary value problems | Approximation | Inverse problems | Error bounds | Spline functions | Mathematical functions | Diffusion coefficient | Data smoothing | Numerical differentiation | MATHEMATICS | Usage | Research | Mathematical research | Analysis | Involutes (Mathematics) | Least squares | Numbers | Mathematics | Algorithms
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2013, Volume 233, Issue 1, pp. 227 - 240
Journal Article
Expert systems with applications, ISSN 0957-4174, 2013, Volume 40, Issue 14, pp. 5588 - 5603
Journal Article