Add to ORKGIn this talk I will discuss some recent constructions of blow-up solutions for a Fujita type problem for powers $p$ related to the critical Sobolev exponent. Both finite type blow-up (of type II) and infinite time blow-up are considered. This research program is in collaboration with C. Cortazar,M. del Pino and J. Wei.Non UBCUnreviewedAuthor affiliation: University of BathFacult
40We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equati...
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
International audienceWe consider the energy supercritical defocusing nonlinear Schrödinger equation...
First, a regularity property for global solutions of some superlinear parabolic problems is establis...
AbstractThis work is devoted to the study of critical blow-up phenomena for wide classes of quasilin...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with...
AbstractIn [27] Fujita showed that for positive solutions, the initial value problem (in RN) for ut=...
Abstract This paper deals with the existence and non-existence of the global solutions to the Cauchy...
In this paper, by means of the energy method, we first study the existence and asymptotic estimates...
In this paper we study the Cauchy problem in R-n of general parabolic equations which take the form ...
AbstractWe establish the critical Fujita exponents for degenerate parabolic equations coupled via no...
The book first studies the particular self-similar singularity solutions (patterns) of the equations...
It is well known from the seminal paper by Fujita [22] for 1 < p < p0, and Hayakawa [36] for the cri...
40We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equati...
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
International audienceWe consider the energy supercritical defocusing nonlinear Schrödinger equation...
First, a regularity property for global solutions of some superlinear parabolic problems is establis...
AbstractThis work is devoted to the study of critical blow-up phenomena for wide classes of quasilin...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with...
AbstractIn [27] Fujita showed that for positive solutions, the initial value problem (in RN) for ut=...
Abstract This paper deals with the existence and non-existence of the global solutions to the Cauchy...
In this paper, by means of the energy method, we first study the existence and asymptotic estimates...
In this paper we study the Cauchy problem in R-n of general parabolic equations which take the form ...
AbstractWe establish the critical Fujita exponents for degenerate parabolic equations coupled via no...
The book first studies the particular self-similar singularity solutions (patterns) of the equations...
It is well known from the seminal paper by Fujita [22] for 1 < p < p0, and Hayakawa [36] for the cri...
40We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equati...
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
International audienceWe consider the energy supercritical defocusing nonlinear Schrödinger equation...