Solvability for time-fractional semilinear parabolic equations with singular initial data
Keyword(s):
We discuss the existence and nonexistence of a local and global-in-time solution to the fractional problem $$ ¥begin{cases} ¥partial_t^{¥alpha}u=¥Delta u+f(u) & x¥in¥Omega,¥ 01$ one has $|f(¥xi)-f(¥eta)|¥le C(1+|¥xi|+|¥eta|)^{p-1}|¥xi-¥eta|$ for all $¥xi, ¥eta¥in ¥R$. Particular attention is paid to the doubly critical case $(p,r)=(1+2/N,1)$.
1997 ◽
Vol 21
(2)
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pp. 505-514
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2017 ◽
Vol 315
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pp. 1-16
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1987 ◽
Vol 49
(180)
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pp. 331-331
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1997 ◽
Vol 3
(3)
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pp. 305-316
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Keyword(s):
1987 ◽
Vol 49
(180)
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pp. 359-359
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1989 ◽
Vol 53
(187)
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pp. 25-25
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