Delay integrodifferential parabolic problems with nonlocal boundary conditions
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Date
2021
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Publisher
Université de Larbi Ben M’hidi-Oum El Bouaghi
Abstract
The aim of this thesis is to prove existence and uniqueness of the solution to a delay semilinear integro-differential parabolic problem, with non local boundary conditions. We use the method of Rothe in a nonclassical function space, where we introduce a natural generalization of the notion of weak solution. We derive the necessary a priori estimates for the approximated solution , and we prove the convergence to the weak solution.
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Keywords
Method of Rothe, Weak solution, Nonclassical function space, A priori estimate