Abstract
A multidimensional, multiphase problem of Stefan type, involving quasilinear parabolic equations and nonlinear boundary conditions is considered. Regularization techniques and monotonicity methods are exploited. Existence and uniqueness of a weak solution to the problem, as well as continuous and monotone dependence of the solution upon data are shown.
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Communicated by A. V. Balakrishnan
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Niezgódka, M., Pawłow, I. A generalized Stefan problem in several space variables. Appl Math Optim 9, 193–224 (1982). https://doi.org/10.1007/BF01460125
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DOI: https://doi.org/10.1007/BF01460125