On a nonlocal problem of A. A. Dezin for the Lavrent’ev-Bitsadze equation
Z. A. NakhushevaScientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nal’chik, Russia
2009en
ABI
Abstract
In a special rectangular domain, for a second-order linear equation of mixed type with discontinuous coefficients and with the Lavrent’ev-Bitsadze operator in the leading part, we prove an extremum principle and existence and uniqueness theorems for the solution of a nonlocal problem stated by A.A. Dezin in his report at the Joint Soviet-American Symposium on Partial Differential Equations (Novosibirsk, 1963).
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