Study of some initial boundary value non-linear parabolic problems with different boundary conditions
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Date
2020
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Publisher
Univérsité Oum El Bouaghi
Abstract
In the fourth chapter, by using Faedo Galerkin method (Compactness method) we study the existence and uniqueness of weak solution of initial boundary value problem for a non-linear parabolic equation with Dirichlet-Neumann conditions. This result generalizes some works in nonlinear parabolic problems.
Finally, in the last chapter, we study the existence and uniqueness of weak solution of initial boundary value problem for a super-linear parabolic equation with Neumann condition and integral condition of second type.
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Keywords
Parabolic equation, Integral condition, Sobolev space, Nonlinear parabolic equation