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International School
“Singularities, Blow-up, and Non-Classical
Problems in Nonlinear PDEs for youth”
November 16, 2024 12:30–13:30, Moscow, RUDN University
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Singularities and blow-up in viscous Hamilton-Jacobi equations. Lecture 2
Alessio Porretta
University of Rome Tor Vergata, Italy
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Abstract:
I will present some problems related to the occurrence/appearance of singularities
in viscous Hamilton-Jacobi equations with coercive superlinear first order terms, in both
stationary and time-dependent equations. The main focus will be on boundary blow-up
solutions and barrier type phenomena, which have a substantial role in the formation of
singularities of time-dependent classical solutions.
Language: English
Series of lectures
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