The Asymptotic Behavior of the Solutions of Degenerate Parabolic Equations
Copyright policy )The Asymptotic Behavior of the Solutions of Degenerate Parabolic Equations
Existence of stationary states is established by means of the method of upper and lower solutions. The structure of the solution set is discussed and a uniqueness property for certain classes is proved by a generalized maximum principle. It is then shown that all solutions of the parabolic equation converge to a stationary state.
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Hölder continuous, maximal solution, initial boundary value problems, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Existence of generalized solutions of PDE, upper and lower solutions, Degenerate parabolic equations, quasilinear, Maximum principles in context of PDEs, maximum principle, \(\omega \)-limit set, Nonlinear boundary value problems for linear elliptic equations, stationary solutions
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Hölder continuous, maximal solution, initial boundary value problems, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Existence of generalized solutions of PDE, upper and lower solutions, Degenerate parabolic equations, quasilinear, Maximum principles in context of PDEs, maximum principle, \(\omega \)-limit set, Nonlinear boundary value problems for linear elliptic equations, stationary solutions
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