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On Fenchel dual schemes in convex optimal control problems

Jiří V. Outrata, Jiří Jarušek (1982)

Kybernetika

On reaction-diffusion systems.

de Oliveira, Luiz Augusto (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients

E. N. Dancer (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Hölder continuity of solutions of nonlinear parabolic systems

E. A. Kalita (1994)

Commentationes Mathematicae Universitatis Carolinae

Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.

On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions

Joachim Naumann, Jörg Wolf, Michael Wolff (1998)

Commentationes Mathematicae Universitatis Carolinae

We prove the interior Hölder continuity of weak solutions to parabolic systems $\frac{\partial u^{j}}{\partial t} - D_{α} a_{j}^{α} (x, t, u, \nabla u) = 0 in Q (j = 1, ..., N)$ ( $Q = Ω \times (0, T), Ω \subset ℝ^{2}$ ), where the coefficients $a_{j}^{α} (x, t, u, ξ)$ are measurable in $x$ , Hölder continuous in $t$ and Lipschitz continuous in $u$ and $ξ$ .

On the local integrability and boundedness of solutions to quasilinear parabolic systems.

Giorgi, Tiziana, O'Leary, Mike (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.

Liu, Xinzhi, Fu, Xilin (1996)

Journal of Applied Mathematics and Stochastic Analysis