A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions

Essen, On the solutions of quasilinear elliptic problems with bound- ary blow-up, In: Partial differential equations of elliptic type (Cortona, 1992).. 35,

Ishige, Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion, Adv.. Mizoguchi, Blow-up behavior for semilinear heat equations with

Stability of the blow-up profile of non-linear heat equations from the dynamical system point of

Vel´ azquez, Generic behaviour near blow-up points for a N -dimensional semilinear heat equation.. Kato, Perturbation Theory for linear operators, Springer,

Indeed, the problem we are looking to is related to the so called existence and asymptotic stability of blow-up profile in the energy space (for L 2 critical generalized KdV, see

The wave equation has no new blow-up rate at the critical case, unlike NLS where new blow-up rates appear at the critical case (with respect to the conformal invariance), see Merle

We prove here the existence of boundary blow up solutions for fully nonlinear equations in general domains, for a nonlinearity satisfying Keller- Osserman type condition.. If

Consequently, the conditions on the mass for the existence of stationary solutions or blow-up are the same, however we make the interesting observation that with the local