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On blow-up of solutions of the Kuramoto-Sivashinsky equation. (English. Russian original) Zbl 1161.35491
Sb. Math. 199, No. 9, 1355-1365 (2008); translation from Mat. Sb. 199, No. 9, 97-106 (2008).

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B33 Critical exponents in context of PDEs
35B45 A priori estimates in context of PDEs
35K55 Nonlinear parabolic equations
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