Generalized super-solutions of parabolic equations
Author:
Neil A. Eklund
Journal:
Trans. Amer. Math. Soc. 220 (1976), 235-242
MSC:
Primary 35K10
DOI:
https://doi.org/10.1090/S0002-9947-1976-0473522-6
Erratum:
Trans. Amer. Math. Soc. 247 (1979), 317-318.
MathSciNet review:
0473522
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Abstract | References | Similar Articles | Additional Information
Abstract: Let L be a linear, second order parabolic operator in divergence form and let Q be a bounded cylindrical domain in ${E^{n + 1}}$. Super-solutions of $Lu = 0$ are defined and generalized to three equivalent forms. Generalized super-solutions are shown to satisfy a minimum principle and form a lattice.
- Neil A. Eklund, Existence and representation of solutions of parabolic equations, Proc. Amer. Math. Soc. 47 (1975), 137–142. MR 361442, DOI https://doi.org/10.1090/S0002-9939-1975-0361442-1
- Neil S. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968), 205–226. MR 226168, DOI https://doi.org/10.1002/cpa.3160210302
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Additional Information
Keywords:
Parabolic PDE,
super-solutions,
potential theory
Article copyright:
© Copyright 1976
American Mathematical Society
