Gluing method and blow-up solutions for the energy critical nonlinear heat equation
时间?018-06-21 作者: 点击?font color="red">
Title |
Gluing method and blow-up solutions for the energy critical nonlinear heat equation |
Speaker |
郑有?副教?/td>
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DateTime |
2018??5日(周一)上?:00-10:00 |
Place |
六号楼二楼报告厅 |
Abstract |
Considering positive solutions for the fractional heat equation with critical exponent on a smooth bounded domain $\Omega$, we prove the existence of initial datum such that the solution blows up precisely at prescribed distinct points $q_1,\cdots, q_k$ in $\Omega$ as $t\to +\infty$. The main ingredient of the proofs is a new inner-outer gluing scheme for the fractional parabolic problems. We also apply this method in the construction of sign-changing blow-up solutions for the energy critical nonlinear heat equation in large dimensions. These are joint works with Professor Juncheng Wei. |
Brief Introduction to Speaker |
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