Geodesic
On blow-up and dynamics near ground states for some semilinear equations
Collot, Charles1
1Laboratoire J.A. Dieudonné Université de Nice-Sophia Antipolis France
Séminaire Laurent Schwartz — EDP et applications (2015-2016), Talk no. 20, 12 p.

See the original proceeding notice from the Numdam source

The main issue of this text is the study of qualitative properties for two canonical semilinear equations:

∂tu=Δu+|u|p-1u,∂ttu=Δu+|u|p-1u.

Its aim is threefold: introduce nonspecialists to the blow-up issue and dynamics near stationary states sometimes leading to their concentration, give an up to date bibliography on this subject for the two equations and on the existence and properties of stationary states and backward self-similar solutions, and a presentation of the author’s work on this issue with a sketch of proof for a recent result obtained in collaboration with F. Merle and P. Raphaël.

Published online:
DOI: 10.5802/slsedp.87

Collot, Charles  1

1 Laboratoire J.A. Dieudonné Université de Nice-Sophia Antipolis France 
Collot, Charles. On blow-up and dynamics near ground states for some semilinear equations. Séminaire Laurent Schwartz — EDP et applications (2015-2016), Talk no. 20, 12 p.. doi: 10.5802/slsedp.87
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