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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Evolution Equations of von Karman Type ([EBook]) / by Pascal Cherrier, Albert Milani.
Author	Cherrier, Pascal
Added Personal Name	Milani, Albert author.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2015.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	XVI, 140 p. : online resource.
Series	Lecture Notes of the Unione Matematica Italiana 1862-9113 ; ; 17
ISBN	9783319209975
Summary Note	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.:
Contents note	Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-20997-5
Links to Related Works	Subject References: Differential Geometry . Mathematical Methods in Physics . Mathematics . Partial differential equations . Physics . Authors: Cherrier, Pascal . Milani, Albert . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes of the Unione Matematica Italiana . Classification: 515.353 .

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Evolution Equations of von Karman Type

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