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Evolution Equations of von Karman Type

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Paru le : 2015-10-12

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and ...
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Description du livre


In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional space. We establish local (respectively global) results for strong (resp., weak) solutions of these problems and corresponding well-posedness results in the Hadamard sense. Results are found by obtaining regularity estimates on solutions which are limits of a suitable Galerkin approximation scheme. The book is intended as a pedagogical introduction to a number of meaningful application of classical methods in nonlinear Partial Differential Equations of Evolution. The material is self-contained and most proofs are given in full detail.
The interested reader will gain a deeper insight into the power of nontrivial a priori estimate methods in the qualitative study of nonlinear differential equations.

À propos

Auteur
Pascal Cherrier , Albert Milani
Éditeur
Springer
Collection
Lecture Notes of the Unione Matematica Italiana
Parution
2015-10-12
Pages
140 pages
EAN papier
9783319209968

Auteur(s) du livre


Defaut-Illustration Pascal Cherrier
Defaut-Illustration Albert Milani

Caractéristiques détaillées - droits

EAN PDF
9783319209975
Prix
47,46 €
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
1485 Ko
Ce livre est accessible aux handicaps informations d'accessibilité
EAN EPUB
9783319209975
Prix
47,46 €
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
2253 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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