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math.AP2020★ 2 cited
Optimal singularities of initial functions for solvability of a semilinear parabolic system
Yohei Fujishima, Kazuhiro Ishige
Let be a nonnegative solution to the semilinear parabolic system \[ \mbox{(P)} \qquad \cases{ \partial_t u=D_1Δu+v^p, & \\ \partial_t v=D_2Δv+u^q,…
math.AP2017
Critical exponent for the global existence of solutions to a nonlinear degenerate/singular parabolic equation
Yohei Fujishima, Tatsuki Kawakami, Yannick Sire
We investigate a non-homogeneous nonlinear heat equation which involves degenerate or singular coefficients belonging to the class of functions. We prove the existence of a F…