Critical Nonlinearities in Partial Differential Equations

Author:

Pohozaev Stanislav I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference31 articles.

1. Ferreira R., de Pablo A., Vazquez J.L.: Classification of blow-up with nonlinear diffusion and localized reaction. J. Differential Equations 231(N1), 195–211 (2006)

2. Fujita H.: On the blowing up of solutions to the Cauchy problem for u t = Δu + u 1+α . J. Fac. Sci. Univ. Tokyo, Sect. 1A Math. 13, 109–124 (1966)

3. Galaktionov V.A.: On conditions for there to be no global solutions of a class of quasilinear parabolic equations. USSR Comput. Math. and Math. Phys. 22(N2), 73–90 (1982)

4. Galaktionov V.A.: Blow-up for quasilinear heat equations with critical Fujita’s exponents. Proceedings of the Royal Society of Edinburgh, Section A: Mathematics 124(N3), 517–525 (1994)

5. V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov and A. A. Samarskii, Blow-up in quasilinear parabolic equations, de Gruyter Expositions in Mathematics, 19. Walter de Gruyter and Co., Berlin, 1995. xxii+535 pp.

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