Generalized parabolic functions using the Perron-Wiener-Brelot method
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- by Neil Eklund PDF
- Proc. Amer. Math. Soc. 74 (1979), 247-253 Request permission
Abstract:
Let L be a linear, second order parabolic operator in divergence form and let U be a bounded domain in ${E^{n + 1}}$. The Dirichlet problem for $Lu = 0$ is solved in U using the Perron-Wiener-Brelot method.References
- Neil A. Eklund, Existence and representation of solutions of parabolic equations, Proc. Amer. Math. Soc. 47 (1975), 137–142. MR 361442, DOI 10.1090/S0002-9939-1975-0361442-1
- Neil A. Eklund, Generalized super-solutions of parabolic equations, Trans. Amer. Math. Soc. 220 (1976), 235–242. MR 473522, DOI 10.1090/S0002-9947-1976-0473522-6
- Neil A. Eklund, Convergent nets of parabolic and generalized superparabolic functions, Proc. Amer. Math. Soc. 50 (1975), 237–243. MR 509707, DOI 10.1090/S0002-9939-1975-0509707-4
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 247-253
- MSC: Primary 35K20
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524295-8
- MathSciNet review: 524295