قسم الرياضيات

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Browsing قسم الرياضيات by Subject "A priori estimate"

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    Delay integrodifferential parabolic problems with nonlocal boundary conditions
    (Université de Larbi Ben M’hidi-Oum El Bouaghi, 2021) Haloui, Zine El Abidine; Bouziani, Abdelfatah
    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.