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Showing 1 to 3 of 3 for “"Parabolisch entartete Differentialgleichung"”.
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Some results on degenerate parabolic equations not in divergence form
The present work deals with initial-boundary value problems for second-order quasilinear degenerate parabolic equations not in divergence form. After establishing existence and uniqueness results in the first chapter, in Chapters 2 through 6 more special problems of the above type are investigated …
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Blow-up in a degenerate parabolic equation with gradient nonlinearity
In this thesis we study positive classical solutions of the degenerate parabolic differential equation $u_t = u^p Delta u + u^q + kappa u^r|abla u|^2$ with zero Dirichlet boundary condition in smoothly bounded domains Omega. Here p>0, q>1, r>-1 and kappa are real parameters. The main aspect of this …
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On upper bounds for waiting times for doubly nonlinear parabolic equations
It is the aim of this thesis to derive quantitative upper bounds for waiting time phenomena. Herein the waiting time of a nonnegative function u: R^n x [0, infty) -> [0, infty) denotes the time when u starts leaving the initial support supp(u(.,0)) for the first time. We will examine how the …