32 research outputs found
On prescribed change of profile for solutions of parabolic equations
Get PDFParabolic equations with homogeneous Dirichlet conditions on the boundary are
studied in a setting where the solutions are required to have a prescribed
change of the profile in fixed time, instead of a Cauchy condition. It is shown
that this problem is well-posed in L_2-setting. Existence and regularity
results are established, as well as an analog of the maximum principle
TEMPORALLY GLOBAL SOLUTION TO THE EQUATIONS FOR A SPHERICALLY SYMMETRIC VISCOUS RADIATIVE AND REACTIVE GAS OVER THE RIGID CORE
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Some inverse problems of identification for integrodifferential parabolic systems with a boundary memory term
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Some properties of the solution of a filtration problem in partially saturated porous media
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