EAN: 9783319209968

EVOLUTION EQUATIONS OF VON KARMAN TYPE - PASCAL...

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.

Aktuelle Preise zur EAN 9783319209968

Produktinformationen zur 9783319209968