Владимир Александрович Кондратьев
Abstract
We consider a boundary value problem for the heat equation in the exterior of a bounded domain of space variables. On the boundary of the domain, we pose a nonlinear boundary condition. We find sharp nonlinearity exponents for which there exists no global solution.
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We consider a boundary value problem for the heat equation in the exterior of a bounded domain of space variables. On the boundary of the domain, we pose a nonlinear boundary condition. We find sharp nonlinearity exponents for which there exists no global solution.
Key concepts: Mathematics, Boundary value problem, Bounded function, Mathematical analysis, Mixed boundary condition, Nonlinear system, Partial differential equation, Domain (mathematical analysis)