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Linear And Quasilinear Parabolic Problems

Linear And Quasilinear Parabolic Problems
Author: Herbert Amann
Publisher: Springer
ISBN: 3030117634
Size: 53.93 MB
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This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with infinite-dimensional Banach spaces as targets. It especially highlights the most important subclasses of Besov spaces, namely Slobodeckii and Hölder spaces. In this case, no restrictions are imposed on the target spaces, except for reflexivity assumptions in duality results. In this general setting, the author proves sharp embedding, interpolation, and trace theorems, point-wise multiplier results, as well as Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions compactness theorems. The results presented pave the way for new applications in situations where infinite-dimensional target spaces are relevant – in the realm of stochastic differential equations, for example.
Linear and Quasilinear Parabolic Problems
Language: en
Pages: 462
Authors: Herbert Amann
Categories: Mathematics
Type: BOOK - Published: 2019-04-16 - Publisher: Springer
This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with infinite-dimensional Banach spaces as targets. It especially highlights the
Linear and Quasilinear Parabolic Problems
Language: en
Pages: 338
Authors: Herbert Amann
Categories: Mathematics
Type: BOOK - Published: 2011-09-27 - Publisher: Birkhäuser
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations
Linear and Quasilinear Parabolic Problems
Language: en
Pages:
Authors: Herbert Amann
Categories: Differential equations, Parabolic
Type: BOOK - Published: 1995 - Publisher:
Books about Linear and Quasilinear Parabolic Problems
Abstract Linear Theory
Language: en
Pages: 335
Authors: Herbert Amann
Categories: Differential equations, Parabolic
Type: BOOK - Published: 1995 - Publisher:
Books about Abstract Linear Theory
Linear and Quasilinear Parabolic Problems
Language: en
Pages:
Authors: Herbert Amann (Mathematiker, Deutschland, Schweiz)
Categories: Differential equations, Parabolic
Type: BOOK - Published: 1995 - Publisher:
Books about Linear and Quasilinear Parabolic Problems
Linear and Quasilinear Parabolic Problems
Language: en
Pages: 338
Authors: Herbert Amann
Categories: Language Arts & Disciplines
Type: BOOK - Published: 1995-03-27 - Publisher: Springer Science & Business Media
This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general
Linear and Quasi-linear Equations of Parabolic Type
Language: en
Pages: 648
Authors: Olʹga Aleksandrovna Ladyzhenskai͡a, Vsevolod Alekseevich Solonnikov, Nina N. Ural'tseva
Categories: Mathematics
Type: BOOK - Published: 1988 - Publisher: American Mathematical Soc.
Books about Linear and Quasi-linear Equations of Parabolic Type
Regularity Problem for Quasilinear Elliptic and Parabolic Systems
Language: en
Pages: 262
Authors: Alexander Koshelev
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer
The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on
Nonlocal Quasilinear Parabolic Problems
Language: en
Pages: 145
Authors: Martin Siegwart
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher:
Books about Nonlocal Quasilinear Parabolic Problems
Linear and Quasilinear Parabolic Systems: Sobolev Space Theory
Language: en
Pages: 226
Authors: David Hoff
Categories: Education
Type: BOOK - Published: 2020-11-18 - Publisher: American Mathematical Soc.
This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near