Optimal singularities of initial data for solvability of the Hardy parabolic equation
نویسندگان
چکیده
We consider the Cauchy problem for Hardy parabolic equation ? t u ? ? = | x ? p with initial data 0 singular at some point z . Our main results show that, if ? , then optimal strength of admissible singularity solvability is same as that Fujita Moreover, weaker than equation. also obtain analogous a fractional case + ( ) ? / 2 <
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.06.011