Strong full bounded solutions of nonlinear parabolic equations with nonlinear boundary conditions
DOI10.1016/j.na.2011.05.012zbMath1223.35205OpenAlexW2014716992MaRDI QIDQ549955
Publication date: 19 July 2011
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.2011.05.012
nonlinear approximationsupersolutionsminimal solutionsinterpolation inequalitiesmaximal solutionsgeneralized full bounded solutionssubsolutons
Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
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Cites Work
- Convergence in almost periodic Fisher and Kolmogorov models
- Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions
- A maximum principle for bounded solutions of the telegraph equation in space dimension three
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- Parabolic differential inequalities and Chaplighin's method
- Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions
- Corrigendum: Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions
- Equivalent Norms for Sobolev Spaces
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