On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions
نویسندگان
چکیده
We prove the interior Hölder continuity of weak solutions to parabolic systems ∂uj ∂t −Dαa α j (x, t, u,∇u) = 0 in Q (j = 1, . . . , N) (Q = Ω×(0, T ),Ω ⊂ R2), where the coefficients aj (x, t, u, ξ) are measurable in x, Hölder continuous in t and Lipschitz continuous in u and ξ.
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On the Hölder continuity of solutions of nonlinear parabolic systems
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