Téléchargez le livre : Evolution Equations of von Karman Type
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Description

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.
Pages
140 pages
Collection
Lecture Notes of the Unione Matematica Italiana
Parution
2015-10-12
Marque
Springer
EAN papier
9783319209968
EAN PDF
9783319209975
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
1485 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
47,46 €
EAN EPUB
9783319209975
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
2253 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
47,46 €

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