Add to ORKGIn this paper, we develop a method of solving the Poincaré-Lelong equation, mainly via the study of the large time asymptotics of a global solution to the Hodge-Laplace heat equation on (1, 1) -forms. The method is effective in proving an optimal result when M has nonnegative bisectional curvature. It also provides an alternate proof of a recent gap theorem of the first author. © © The Author(s) 2013
In this paper, we extend the results of [8] by proving exponential asymptotic H-1-convergence of sol...
We investigate the behavior, as ε → 0+, of ε log wε(t, x) where wε are solutions of a suitable famil...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...
In this paper, we develop a method of solving the Poincaré-Lelong equation, mainly via the study of ...
We study the large-time behavior in all Lp norms and in different space-time scales of solutions to ...
AbstractWe study the well-posedness and describe the asymptotic behavior of solutions of the heat eq...
AbstractIn this paper, we will consider Laplace's method for a class of heat processes on loop space...
AbstractWe characterize all domains Ω of RN such that the heat semigroup decays in L(L∞(Ω)) or L(L1(...
It is known that, if the time variable in the heat equation is complex and belongs to a sector in C,...
AbstractThe paper pursues two connected goals. Firstly, we establish the Li–Yau–Hamilton estimate fo...
We obtain new estimates for the existence time of the maximal solutions to the nonlinear heat equati...
AbstractWe study the large time behaviour of nonnegative solutions of the Cauchy problem, ut + ummx ...
CRUE-CSIC (Acuerdos Transformativos 2022)We study solutions of the equation ut−Δu+λu=f, for initial ...
We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: wh...
The equation ut = ∆p(u1/(p−1)) for p> 1 is a nonlinear generalization of the heat equation which ...
In this paper, we extend the results of [8] by proving exponential asymptotic H-1-convergence of sol...
We investigate the behavior, as ε → 0+, of ε log wε(t, x) where wε are solutions of a suitable famil...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...
In this paper, we develop a method of solving the Poincaré-Lelong equation, mainly via the study of ...
We study the large-time behavior in all Lp norms and in different space-time scales of solutions to ...
AbstractWe study the well-posedness and describe the asymptotic behavior of solutions of the heat eq...
AbstractIn this paper, we will consider Laplace's method for a class of heat processes on loop space...
AbstractWe characterize all domains Ω of RN such that the heat semigroup decays in L(L∞(Ω)) or L(L1(...
It is known that, if the time variable in the heat equation is complex and belongs to a sector in C,...
AbstractThe paper pursues two connected goals. Firstly, we establish the Li–Yau–Hamilton estimate fo...
We obtain new estimates for the existence time of the maximal solutions to the nonlinear heat equati...
AbstractWe study the large time behaviour of nonnegative solutions of the Cauchy problem, ut + ummx ...
CRUE-CSIC (Acuerdos Transformativos 2022)We study solutions of the equation ut−Δu+λu=f, for initial ...
We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: wh...
The equation ut = ∆p(u1/(p−1)) for p> 1 is a nonlinear generalization of the heat equation which ...
In this paper, we extend the results of [8] by proving exponential asymptotic H-1-convergence of sol...
We investigate the behavior, as ε → 0+, of ε log wε(t, x) where wε are solutions of a suitable famil...
AbstractThe equation ut=Δp(u1/(p−1)) for p>1 is a nonlinear generalization of the heat equation whic...