Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations |
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| Authors: | Norisuke Ioku Takayoshi Ogawa |
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| Institution: | 1. Graduate School of Science and Engineering, Ehime University, Matsuyama, Ehime 790-8577, Japan;2. Mathematical Institute, Tohoku University, Sendai 980-8578, Japan |
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| Abstract: | We consider a heat semigroup with an inverse square potential and prove critical dissipative estimates including the endpoint case. Some application to a nonlinear heat equation with an inverse square potential is also discussed. |
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| Keywords: | 46E30 46E35 |
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