The noncharacteristic Cauchy problem for parabolic equations in two space variables-Reference-Cited by-同舟云学术

The noncharacteristic Cauchy problem for parabolic equations in two space variables

Published:1973 Issue:2 Volume:41 Page:551-556
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Colton David

Abstract

An integral representation is obtained for the solution of the noncharacteristic Cauchy problem for second order parabolic equations in two space variables with entire, time independent coefficients. This is accomplished through the use of contour integration techniques and the calculus of residues in the space of several complex variables.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-041-02/S0002-9939-1973-0324189-1/S0002-9939-1973-0324189-1.pdf

Reference5 articles.

1. Cauchy’s problem and the analytic continuation of solutions to elliptic equations;Colton, David,1973

2. Parabolic equations in one space variable and the non-characteristic Cauchy problem;Hill, C. Denson;Comm. Pure Appl. Math.,1967

3. A method for the construction of reflection laws for a parabolic equation;Hill, C. Denson;Trans. Amer. Math. Soc.,1968

4. L. Hörmander, Linear partial differential operators, Die Grundlehren der math. Wissenschaften, Band 116, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #4221.

5. Linear Goursat problems for entire functions when the coefficients are variable;Persson, Jan;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3),1969

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