On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
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Publication:858637
DOI10.1016/j.na.2005.12.005zbMath1105.35044OpenAlexW1993406541MaRDI QIDQ858637
Abdelfatah Bouziani, Nabil Merazga
Publication date: 11 January 2007
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.12.005
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
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Cites Work
- The weak solution of a functional differential equation in a general Banach space
- On the solvability of parabolic and hyperbolic problems with a boundary integral condition
- Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation
- Mixed problem with boundary integral conditions for a certain parabolic equation
- Rothe time-discretization method for a nonlocal problem arising in thermoelasticity
- Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
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