Generalized super-solutions of parabolic equations
HTML articles powered by AMS MathViewer
- by Neil A. Eklund PDF
- Trans. Amer. Math. Soc. 220 (1976), 235-242 Request permission
Erratum: Trans. Amer. Math. Soc. 247 (1979), 317-318.
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.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 S. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968), 205–226. MR 226168, DOI 10.1002/cpa.3160210302
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 220 (1976), 235-242
- MSC: Primary 35K10
- DOI: https://doi.org/10.1090/S0002-9947-1976-0473522-6
- MathSciNet review: 0473522