On the asymptotic behavior of solutions of parabolic equations
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
A gradient estimate for solutions of the heat equation. II
The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.
A gradient estimate for solutions of the heat equation
On the stability of solutions of linear differential systems with slowly varying coefficients
The Feynman-Kac formula for a system of parabolic equations
A note on the convolution theorem for the Fourier transform
In this paper we characterize those bounded linear transformations carrying into the space of bounded continuous functions on , for which the convolution identity holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.
On the density of the dilations and translates of function in
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