Existence of a classical solution for linear parabolic systems of nondivergence form

Masashi Misawa

Displaying similar documents to “Existence of a classical solution for linear parabolic systems of nondivergence form”

Some (new) counterexamples of parabolic systems

Jana Stará, Oldřich John (1995)

Commentationes Mathematicae Universitatis Carolinae

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We give examples of parabolic systems (in space dimension $n \geq 3$ ) having a solution with real analytic initial and boundary values which develops the discontinuity in the interior of the parabolic cylinder.

$C^{α}$ -regularity results for quasilinear parabolic systems

Alain Bensoussan, Jens Frehse (1990)

Commentationes Mathematicae Universitatis Carolinae

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A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient

Arina A. Arkhipova, Jana Stará (2010)

Commentationes Mathematicae Universitatis Carolinae

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We derive local a priori estimates of the Hölder norm of solutions to quasilinear elliptic systems with quadratic nonlinearities in the gradient. We assume higher integrability of solutions and smallness of its BMO norm but the Hölder norm is estimated in terms of BMO norm of the solution under consideration, only.

Displaying similar documents to “Existence of a classical solution for linear parabolic systems of nondivergence form”

Some (new) counterexamples of parabolic systems

C α -regularity results for quasilinear parabolic systems

A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient

$C^{α}$ -regularity results for quasilinear parabolic systems