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Some regularity results for basic systems of nonlinear parabolic type. (Italian. English summary) Zbl 0794.35019
Summary: We show some regularity results for the solutions to nonlinear parabolic systems of the type \[ -\sum^ n_{i=1}D_ ia^ i(Du)+{\partial u\over\partial t}=0 \] assuming that the vector mappings \(p\to a^ i(p)\) have derivatives \(\partial a^ i(p)/\partial p^ j_ k\) which are continuous, but not uniformly continuous.
MSC:
35D10 Regularity of generalized solutions of PDE (MSC2000)
35K55 Nonlinear parabolic equations
35K40 Second-order parabolic systems
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