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DOI: 10.23671/VNC.2016.4.5997
A Maximum Principle for a Loaded Hyperbolic-Parabolic Equation
Khubiev K. U.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 4.
Abstract: 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.
Keywords: maximum principle, loaded equation, equation of mixed type, hyperbolic-parabolic equation
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