Add to ORKGFormulae for the derivatives of solutions of diffusion equations are derived which clearly exhibit, and allow estimation of, the equations' smoothing properties. These also give formulae for the logarithmic gradient of the corresponding heat kernels, extending and giving a very elementary proof of Bismut's well known formula. Corresponding formulae are derived for solutions of heat equations for differential forms and their exterior derivatives. (C) 1994 Academic Press, Inc
By studying the local time of reflecting diffusion processes, explicit gradient estimates of the Neu...
Formulae are given dP(t)phi, d*P(t)phi, and Delta P(t)phi for P-t the heal semigroup acting on a q-f...
By using coupling method, a Bismut type derivative formula is established for the Markov semigroup a...
AbstractFormulae for the derivatives of solutions of diffusion equations are derived which clearly e...
AbstractWe use martingale methods to give Bismut type derivative formulas for differentials and co-d...
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions o...
AbstractA new representation for the gradient of heat semigroup on Riemannian manifold is given by u...
As a very special case of a more general procedure a formula is derived for the Hessian of the solut...
The Heat Equation is a partial differential equation that describes the distribution of heat over a ...
By using logarithmic transformations and stochastic analysis, an explicit lower bound of Dirichlet h...
1. Introduction. Of concern is a problem in heat conduction where the thermal conductivity depends o...
We study the heat equation $\frac{\partial u}{\partial t}-\Delta u=0,\ u(x,0)=\omega (x),$ where $\D...
AbstractBy using logarithmic transformations and stochastic analysis, an explicit lower bound of Dir...
AbstractBy studying the local time of reflecting diffusion processes, explicit gradient estimates of...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
By studying the local time of reflecting diffusion processes, explicit gradient estimates of the Neu...
Formulae are given dP(t)phi, d*P(t)phi, and Delta P(t)phi for P-t the heal semigroup acting on a q-f...
By using coupling method, a Bismut type derivative formula is established for the Markov semigroup a...
AbstractFormulae for the derivatives of solutions of diffusion equations are derived which clearly e...
AbstractWe use martingale methods to give Bismut type derivative formulas for differentials and co-d...
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions o...
AbstractA new representation for the gradient of heat semigroup on Riemannian manifold is given by u...
As a very special case of a more general procedure a formula is derived for the Hessian of the solut...
The Heat Equation is a partial differential equation that describes the distribution of heat over a ...
By using logarithmic transformations and stochastic analysis, an explicit lower bound of Dirichlet h...
1. Introduction. Of concern is a problem in heat conduction where the thermal conductivity depends o...
We study the heat equation $\frac{\partial u}{\partial t}-\Delta u=0,\ u(x,0)=\omega (x),$ where $\D...
AbstractBy using logarithmic transformations and stochastic analysis, an explicit lower bound of Dir...
AbstractBy studying the local time of reflecting diffusion processes, explicit gradient estimates of...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
By studying the local time of reflecting diffusion processes, explicit gradient estimates of the Neu...
Formulae are given dP(t)phi, d*P(t)phi, and Delta P(t)phi for P-t the heal semigroup acting on a q-f...
By using coupling method, a Bismut type derivative formula is established for the Markov semigroup a...