Blow-up of the critical norm for supercritical wave equations
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: SLMath: Eisenbud Auditorium
critical exponent
supercritical regime
finite blow-up time
non-linear PDE
wave equation
35J65 - Nonlinear boundary value problems for linear elliptic equations
34K13 - Periodic solutions to functional-differential equations [See also 37C27]
34K30 - Functional-differential equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx]
34D45 - Attractors of solutions to ordinary differential equations [See also 37C70, 37D45]
14397
In this talk (essentially based in a joint work with Tristan Roy), I will review some recent results about the blow-up of the scale-invariant Sobolev norm for nonlinear wave equations in space dimension 3.
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14397
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