The noncharacteristic Cauchy problem for parabolic equations in two space variables
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- by David Colton PDF
- Proc. Amer. Math. Soc. 41 (1973), 551-556 Request permission
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.References
- David Colton, Cauchy’s problem and the analytic continuation of solutions to elliptic equations, Symposium on Non-Well-Posed Problems and Logarithmic Convexity (Heriot-Watt Univ., Edinburgh, 1972) Lecture Notes in Math., Vol. 316, Springer, Berlin, 1973, pp. 55–66. MR 0399655
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 551-556
- MSC: Primary 35C15; Secondary 35K10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324189-1
- MathSciNet review: 0324189