The nonlinear heat equation involving highly singular initial values and new blowup and life span results

Author:

Tayachi Slim,Weissler Fred B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Numerical Analysis,Analysis

Reference30 articles.

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2. Brézis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Universitext. Springer, New York (2011)

3. Brézis, H., Friedman, A.: Nonlinear parabolic equations involving measures as initial conditions. J. Math. Pures Appl. 62, 73–97 (1983)

4. Cazenave, T., Dickstein, F., Escobedo, M., Weissler, F.B.: Self-similar solutions of a nonlinear heat equation. J. Math. Sci. Univ. Tokyo 8, 501–540 (2001)

5. Cazenave, T., Dickstein, F., Weissler, F.B.: Universal solutions of the heat equation in $${\mathbb{R}}^{N}$$ R N . Discrete Contin. Dyn. Syst. 9, 1105–1132 (2003)

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