Special Session 84: 
Existence of solutions for an inhomogeneous fractional semilinear heat equation
Kotaro Hisa
Graduate School of Science and Faculty of Science, Tohoku University.
Japan
Co-Author(s):    
Abstract:
We obtain necessary conditions and sufficient conditions on the existence of solutions to the Cauchy problem for a fractional semilinear heat equation with an inhomogeneous term. We identify the strongest spatial singularity of the inhomogeneous term for the solvability of the Cauchy problem.
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