Fundamental Solutions for Hyperbolic Operators with Variable Coefficients

Details Fundamental Solutions for Hyperbolic Operators with Variable Coefficients Fundamental Solutions for Hyperbolic Operators with Variable Coefficients

2010-01-19

arxiv.org/abs/1001.3177v1

Rend. Istit. Mat. Univ. Trieste, Volume 42 Suppl. (2010), 221-243

Mathematics

Analysis of PDEs

Scientific paper

In this article we describe the novel method to construct fundamental solutions for operators with variable coefficients. That method was introduced in "A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain"(J. Differential Equations,206(2004)227--252) to study the Tricomi-type equation. More precisely, the new integral operator is suggested which transforms the family of the fundamental solutions of the Cauchy problem for the equation with the constant coefficients to the fundamental solutions for the operators with variable coefficients.

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