Existence and attractors of solutions for nonlinear parabolic systems.
El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification.”
Existence and attractors of solutions for nonlinear parabolic systems.
On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories
Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition.
Merazga, Nabil, Bouziani, Abdelfatah (2006)
Journal of Applied Mathematics and Stochastic Analysis
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On existence of the weak solution for nonlinear diffusion equation
Juraj Zeman (1991)
Applications of Mathematics
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The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.
Convergence of Rothe's method in Hölder spaces
Norio Kikuchi, Jozef Kačur (2003)
Applications of Mathematics
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The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.