Existence of the fundamental solution of a second order evolution equation

Jan Bochenek

ArticleOriginal scientific text

Title

Existence of the fundamental solution of a second order evolution equation

Authors ¹

Affiliations

Institute of Mathematics, Technical University of Kraków, Warszawska 24, 31-155 Kraków, Poland

Abstract

We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence

{A_{n} (t)}

of bounded operators.

Keywords

ENG

evolution problem, stable family of operators, stable approximations of the evolution operator, fundamental solution, Cauchy problem, uniformly correct Cauchy problem

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Title

Existence of the fundamental solution of a second order evolution equation

Affiliations

Abstract

Keywords

Bibliography