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A remark on non variational basic parabolic systems of second order of Campanato type. (English) Zbl 0823.35093
Summary: We consider the non-variational basic operator $$a(H(u))- {{\partial u} \over {\partial t}}$$ where $$a(\xi)$$ is a vector in $$\mathbb{R}^ N$$, $$N\geq 1$$, which is continuous in $$\xi$$ and satisfies the condition (A) first introduced by S. Campanato and used to solve the Cauchy-Dirichlet problem. We show that also for a particular Cauchy-Newman problem condition (A) is effective.
##### MSC:
 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations