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math.AP2019★ 16 cited
A Blow-up Dichotomy for Semilinear Fractional Heat Equations
Robert Laister, Mikolaj Sierzega
We derive a blow-up dichotomy for positive solutions of fractional semilinear heat equations on the whole space. That is, within a certain class of convex source terms, we establis…
math.AP2019★ 11 cited
Well-posedness of Semilinear Heat Equations in
Robert Laister, Mikolaj Sierzega
The problem of obtaining necessary and sufficient conditions for local existence of non-negative solutions in Lebesgue spaces for semilinear heat equations having monotonically inc…