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Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems

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Function Spaces, Differential Operators and Nonlinear Analysis

Part of the book series: Teubner-Texte zur Mathematik ((TTZM,volume 133))

Abstract

It is the purpose of this paper to describe some of the recent developments in the mathematical theory of linear and quasilinear elliptic and parabolic systems with nonhomogeneous boundary conditions. For illustration we use the relatively simple set-up of reaction-diffusion systems which are — on the one h and — typical for the whole class of systems to which the general theory applies and — on the other h and — still simple enough to be easily described without too many technicalities. In addition, quasilinear reaction-diffusion equations are of great importance in applications and of actual mathematical and physical interest, as is witnessed by the examples we include.

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  1. Universität Zürich, Rämistr. 74, CH-8001, Zürich, Switzerland

    Herbert Amann

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Amann, H. (1993). Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems. In: Schmeisser, HJ., Triebel, H. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte zur Mathematik, vol 133. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11336-2_1

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