Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations

Author:

Korpusov M. O.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference29 articles.

1. H. A. Levine, “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $$P{{u}_{t}} = - Au + F(u)$$,” Arch. Ration. Mech. Anal. 192, 1–21 (1974).

2. H. A. Levine, “Instability and nonexistence of global solutions to nonlinear wave equations of the form $$P{{u}_{{tt}}} = - Au + F(u)$$,” Trans. Am. Math. Soc. 51, 371–386 (1973).

3. B. Straughan, “Further global nonexistence theorems for abstract nonlinear wave equations,” Proc. Am. Math. Soc. 48 (2), 381–390 (1975).

4. V. K. Kalantarov and O. A. Ladyzhenskaya, “The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types,” J. Sov. Math. 10 (1), 53–70 (1978).

5. H. A. Levine and J. Serrin, “Global nonexistence theorems for quasilinear evolution equations with dissipation,” Arch. Ration. Mech. Anal. 137 (4), 341–361 (1997).

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