Solvability of a Parabolic Boundary Value Problem with Internal Jump Condition
نویسندگان
چکیده
We examine a model for the propagation of heat through a one-dimensional object with an interior “flaw”. The flaw is modeled as a nonlinear relationship between the flux and temperature jump at an interior point of the object. Under realistic hypotheses, the resulting nonlinear initial boundary value problem is shown to have a unique and suitably smooth solution.
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