A maximum principle for a loaded hyperbolic-parabolic equation. (Russian. English summary) Zbl 1474.35155

Summary: We prove the maximum principle for a loaded equation of hyperbolic-parabolic type with variable coefficients. The characteristic load term is given on the degenerate line. The obtained results generalize the maximum principle for hyperbolic-parabolic equations provided in T. D. Dzhuraev’s monograph, and in the hyperbolic domain the well-known Agmon-Nirenberg-Protter principle.


35B50 Maximum principles in context of PDEs
35M12 Boundary value problems for PDEs of mixed type
Full Text: MNR


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