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## Search Articles

2013, Mathematical surveys and monographs, ISBN 9781470409852, Volume 192, x, 221

Book

2012, Graduate studies in mathematics, ISBN 9780821875766, Volume 135, xviii, 377

Book

2010, ISBN 9780691142869, xiii, 328

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion...

Distributed parameter systems | Differential equations, Parabolic | Adaptive control systems | Mathematics

Distributed parameter systems | Differential equations, Parabolic | Adaptive control systems | Mathematics

Book

2011, Graduate studies in mathematics, ISBN 0821852841, Volume 123, xvii, 410

Book

2004, Chapman & Hall/CRC applied mathematics and nonlinear science series, ISBN 9781584884620, xxii, 360

Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century...

Thermodynamics | Mathematical Physics | Differential Equations | Differential equations, Parabolic

Thermodynamics | Mathematical Physics | Differential Equations | Differential equations, Parabolic

Book

2015, London Mathematical Society lecture note series, ISBN 1107477395, Volume 419, vii, 167

.... Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous...

Differential equations, Partial | Differential equations, Parabolic | Cauchy problem

Differential equations, Partial | Differential equations, Parabolic | Cauchy problem

Book

2012, Mathematical surveys and monographs, ISBN 9780821889817, Volume 183, vii, 317

Book

2019, ISBN 9781493999323, 141

This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics...

eBook

2016, ISBN 9780128046289, 243 pages

This book describes three classes of nonlinear partial integro-differential equations...

Differential equations, Nonlinear | Nonlinear theories | Mathematical physics

Differential equations, Nonlinear | Nonlinear theories | Mathematical physics

Book

2015, Mathematical surveys and monographs, ISBN 1470425580, Volume 207, xii, 479

Book

2008, ISBN 9780486466255, xiv, 347

Book

2019, Progress in nonlinear differential equations and their applications, ISBN 3030110982, Volume 93, 222

This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations...

Differential equations, Parabolic

Differential equations, Parabolic

eBook

2005, 2nd ed., ISBN 9780521607933, xiii, 278

..., engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition...

Differential equations, Partial | Numerical solutions

Differential equations, Partial | Numerical solutions

Book

Foundations of computational mathematics, ISSN 1615-3375, 10/2018, Volume 18, Issue 5, pp. 1109 - 1130

For a large class of fully nonlinear parabolic equations, which include gradient flows for energy functionals that depend on the solution gradient, the semidiscretization in time by implicit Runge...

65M15 | 65L06 | Runge–Kutta method | Maximal parabolic regularity | Stability | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Numerical Analysis | Error bounds | Applications of Mathematics | Math Applications in Computer Science | Gradient flow | Computer Science, general | Economics, general | 65M12 | Nonlinear parabolic equation | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Numerical analysis | Research | Differential equations, Nonlinear | Differential equations, Partial | Mathematical research | Nonlinear equations | Error analysis | Functionals | Mathematical analysis | Runge-Kutta method | Regularity

65M15 | 65L06 | Runge–Kutta method | Maximal parabolic regularity | Stability | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Numerical Analysis | Error bounds | Applications of Mathematics | Math Applications in Computer Science | Gradient flow | Computer Science, general | Economics, general | 65M12 | Nonlinear parabolic equation | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Numerical analysis | Research | Differential equations, Nonlinear | Differential equations, Partial | Mathematical research | Nonlinear equations | Error analysis | Functionals | Mathematical analysis | Runge-Kutta method | Regularity

Journal Article

2007, Oxford mathematical monographs, ISBN 9780198569039, xxii, 624

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently...

Boundary value problems | Mathematical and Statistical Physics | Mathematics | Boundary layer theory | Nonlinear | Heat equation | Linear partial differential equations | Fluid flow | Mathematical biology | Lubrication | Diffusion | Heat transfer

Boundary value problems | Mathematical and Statistical Physics | Mathematics | Boundary layer theory | Nonlinear | Heat equation | Linear partial differential equations | Fluid flow | Mathematical biology | Lubrication | Diffusion | Heat transfer

Book

2019, Birkhauser Advanced Texts Basler Lehrbucher, ISBN 9783030182205, 738

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems...

eBook

2019, Monographs in mathematics, ISBN 9783030117627, Volume 106, 476

This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature....

Differential equations, Parabolic | Function spaces

Differential equations, Parabolic | Function spaces

eBook

2015, Springer Proceedings in Mathematics & Statistics, ISBN 331912546X, Volume 119, 295

The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations...

Differential Equations | Mathematics | Functions of complex variables | Differential equations, partial

Differential Equations | Mathematics | Functions of complex variables | Differential equations, partial

eBook

Journal of mathematical biology, ISSN 0303-6812, 7/2011, Volume 63, Issue 1, pp. 1 - 32

In two space dimensions, the parabolic–parabolic Keller–Segel system shares many properties with the parabolic–elliptic Keller–Segel system...

35K40 | Mathematical and Computational Biology | 35J60 | Keller–Segel model | Self-similar solution | Mathematics | Critical mass | Blowup | 35K57 | Chemotaxis | 35B30 | Applications of Mathematics | Existence | Nonlocal parabolic equations | Keller-Segel model | Biology | Life Sciences & Biomedicine - Other Topics | Life Sciences & Biomedicine | Science & Technology | Mathematical & Computational Biology | Models, Biological | Differential equations, Partial | Research | Index Medicus | Mathematics - Analysis of PDEs | Analysis of PDEs

35K40 | Mathematical and Computational Biology | 35J60 | Keller–Segel model | Self-similar solution | Mathematics | Critical mass | Blowup | 35K57 | Chemotaxis | 35B30 | Applications of Mathematics | Existence | Nonlocal parabolic equations | Keller-Segel model | Biology | Life Sciences & Biomedicine - Other Topics | Life Sciences & Biomedicine | Science & Technology | Mathematical & Computational Biology | Models, Biological | Differential equations, Partial | Research | Index Medicus | Mathematics - Analysis of PDEs | Analysis of PDEs

Journal Article

2007, Birkhäuser advanced texts, ISBN 3764384417, xi, 584

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems...

Differential equations, Elliptic | Differential equations, Partial | Differential equations, Parabolic

Differential equations, Elliptic | Differential equations, Partial | Differential equations, Parabolic

Book

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