A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain

Author:

Hirata Kentaro

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Reference20 articles.

1. H. Aikawa, Boundary Harnack principle and Martin boundary for a uniform domain, J. Math. Soc. Japan 53 (2001), 119–145.

2. M. F. Bidaut-Véron, Initial blow-up for the solutions of a semilinear parabolic equation with source term, in Équations aux Dériveés Partielles et Applications, Gauthier-Villars, Éd. Sci.Méd. Elsevier, Paris, 1998, pp. 189–198.

3. T. Cheng and G. F. Zheng, Some blow-up problems for a semilinear parabolic equation with a potential, J. Differential Equations 244 (2008), 766–802.

4. J. L. Doob, Classical Potential Theory and its Probabilistic Counterpart, Springer-Verlag, Berlin, 2001.

5. J. Földes, Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems, Czechoslovak Math. J. 61(136) (2011), 169–198.

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