A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition
DOI10.21915/BIMAS.2022103zbMath1489.35161OpenAlexW4224102865MaRDI QIDQ5075714
Taki-Eddine Oussaeif, Chebana Zainouba, Dehilis Sofiane, Leila Benaoua
Publication date: 11 May 2022
Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21915/bimas.2022103
existenceuniquenessone space dimensionenergy inequality methodnonlinear integral boundary conditions
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Mixed problem with an integral two-space-variables condition for a class of hyperbolic equations
- A mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator
- A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition
- Stability and convergence of compact finite difference method for parabolic problems with delay
- Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition
- Unique solvability of a Dirichlet problem for a fractional parabolic equation using energy-inequality method
- Galerkin finite element method for a semi-linear parabolic equation with integral conditions
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