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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklov., 1994 Volume 203, Pages 365–388 (Mi tm1344)

Feynman integral formulae and fundamental solutions of decomposable evolution operators

N. Ortner, P. Wagner

Institute of Mathematics and Geometry University of Innsbruck, Austria

Abstract: The fundamental solutions of products of quasihyperbolic partial differential operators are represented by definite integrals making use of generalized versions of Feynman's parametric integrals. The formulae deduced are applied to derive the fundamental solutions of products of transport, heat, and Klein–Gordon operators, respectively.

Keywords: fundamental solutions, hyperbolic partial differential operators, Klein–Gordon operators, heat diffusion, evolution operators.

UDC: 517.98

Received in May 1993

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics, 1995, 203, 305–322

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