Periodic problems and problems with discontinuities for nonlinear parabolic equations

Tiziana Cardinali; Nikolaos S. Papageorgiou

Displaying similar documents to “Periodic problems and problems with discontinuities for nonlinear parabolic equations”

Existence of solutions for nonlinear parabolic problems

Nikolaos Halidias, Nikolaos S. Papageorgiou (1999)

Archivum Mathematicum

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We consider nonlinear parabolic boundary value problems. First we assume that the right hand side term is discontinuous and nonmonotone and in order to have an existence theory we pass to a multivalued version by filling in the gaps at the discontinuity points. Assuming the existence of an upper solution $φ$ and of a lower solution $ψ$ such that $ψ \leq φ$ , and using the theory of nonlinear operators of monotone type, we show that there exists a solution $x \in [ψ, φ]$ and that the set of all such solutions is...

On some properties of solutions of quasilinear degenerate parabolic equations in $ℝ^{m} \times (0, + \infty)$

Salvatore Bonafede, Francesco Nicolosi (2004)

Mathematica Bohemica

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We study the asymptotic behaviour near infinity of the weak solutions of the Cauchy-problem.

On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations.

Bouziani, Abdelfatah (2002)

Abstract and Applied Analysis

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Displaying similar documents to “Periodic problems and problems with discontinuities for nonlinear parabolic equations”

Existence of solutions for nonlinear parabolic problems

On some properties of solutions of quasilinear degenerate parabolic equations in ℝ m × ( 0 , + ∞ )

On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations.

On some properties of solutions of quasilinear degenerate parabolic equations in $ℝ^{m} \times (0, + \infty)$