Classification of type I and type II behaviors for a supercritical nonlinear heat equation

133 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Nonradial type II blow up for the energy-supercritical semilinear heat equation (2016, background): “One could investigate the properties of this limit in order to continue the solution u beyond blow-up time, which is a relevant question for blow-up issues [24], especially for hamiltonian equations where a subcritical norm is under control.”
Infinite-time blow-up for the 3-dimensional energy-critical heat equation (2017, unknown): “We refer the reader for instance to the book [33] for background and a comprehensive account of results until 2007 and to the more recent works [20, 21, 22] and references therein.”
Classification of radial solutions of the focusing, energy-critical wave equation (2012, background): “It is surprising that this can be established in a critical problem outside the parabolic setting (see [29] for example).”
Threshold and generic type I behaviors for a supercritical nonlinear heat equation (2011, background): “Before concluding this section, we remark that the following proposition can easily be derived from our earlier results found in [17, 18].”