Porous medium type reaction-diffusion equation: large time behaviors and regularity of free boundary

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Methods of ordinary differential equations applied to PDEs (35A24) Comparison principles in context of PDEs (35B51)

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