A free boundary problem for quasilinear degenerate parabolic equations with general degeneracy |
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Authors: | Zhao Junning Li Yi |
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Institution: | (1) Institute of Mathematics, Jilin University, China |
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Abstract: | In this paper, we study the free boundary problem for degenerate parabolic equations (1.1)–(1.4). The existence of generalized solutions inBV
1, 1/2 is obtained by the means of parabolic regularization under certain restrictions. The uniqueness and regularity of generalized solutions are also discussed. In addition, a C1+ smoothness for the free boundary is obtained in the parabolic case. |
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Keywords: | |
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