| Abstract: |
| In this talk, we introduce a class of nonlocal parabolic PDEs with integral constraint, for which the maximum principle does not always hold. The sufficent and necessary conditions for the existence of global solutions are established, together with the behaviour of global solutions and nonglobal solutions. Moreover, a relative study on the evolution of nonlocal curvature flows with area-constraint or length-constraint will also be investigated. |
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