Blow-Up in Quasilinear Parabolic Equations

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Introduction
Preliminary facts of the theory of second order quasilinear parabolic equations	p. 1
Some quasilinear parabolic equations. Self-similar solutions and their asymptotic stability	p. 38
Heat localization (inertia)	p. 130
Nonlinear equation with a source. Blow-up regimes. Localization. Asymptotic behaviour of solutions	p. 176
Methods of generalized comparison of solutions of different nonlinear parabolic equations and their applications	p. 316
Approximate self-similar solutions of nonlinear heat equations and their applications in the study of the localization effect	p. 373
Some other methods of study of unbounded solutions	p. 414
Bibliography	p. 506
Index	p. 535
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