Add to ORKG2000 Mathematics Subject Classification: 60J80, 60J85We review several probabilistic techniques that were developed in a series of papers to study blowup properties of positive (mild) solutions of semilinear equations. The emphasis is on probabilistic representations of positive solutions, and on qualitative properties of solutions
The natural Markov structure for population growth is that of genetics: newborns inherit types from ...
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a...
AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit typ...
Abstract. Semilinear equations Lu = ψ(u) where L is an elliptic differential operator and ψ is a pos...
AbstractWe deal with the probabilistic approach to a nonlinear operator Λ of the form Λu=Δu+∑k=1∞qku...
AbstractThis paper deals with the blowup estimates of positive solutions for a semilinear reaction d...
AbstractWe consider stochastic equations of the prototype du(t,x)=(Δu(t,x)+u(t,x)1+β)dt+κu(t,x)dWt o...
International audienceWe consider stochastic equations of the prototype $du(t,x) =\left( \Delta u(t,...
We give a sufficient condition for non-existence of global nonnegative mild solutions of the Cauchy ...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Marko...
We study semi-linear elliptic PDEs with polynomial non-linearity in bounded domains and provide a pr...
The object of study in this thesis is a number of different models of branching Levy processes in in...
AbstractIn this paper we study the semigroups of operators associated with Markov branching processe...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
The natural Markov structure for population growth is that of genetics: newborns inherit types from ...
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a...
AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit typ...
Abstract. Semilinear equations Lu = ψ(u) where L is an elliptic differential operator and ψ is a pos...
AbstractWe deal with the probabilistic approach to a nonlinear operator Λ of the form Λu=Δu+∑k=1∞qku...
AbstractThis paper deals with the blowup estimates of positive solutions for a semilinear reaction d...
AbstractWe consider stochastic equations of the prototype du(t,x)=(Δu(t,x)+u(t,x)1+β)dt+κu(t,x)dWt o...
International audienceWe consider stochastic equations of the prototype $du(t,x) =\left( \Delta u(t,...
We give a sufficient condition for non-existence of global nonnegative mild solutions of the Cauchy ...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Marko...
We study semi-linear elliptic PDEs with polynomial non-linearity in bounded domains and provide a pr...
The object of study in this thesis is a number of different models of branching Levy processes in in...
AbstractIn this paper we study the semigroups of operators associated with Markov branching processe...
Abstract. We present a probabilistic approach which proves blow-up of so-lutions of the Fujita equat...
The natural Markov structure for population growth is that of genetics: newborns inherit types from ...
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a...
AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit typ...