BOUNDS FOR THE FUNDAMENTAL SOLUTION OF ELLIPTIC AND PARABOLIC EQUATIONS IN NONDIVERGENCE FORM

54 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS (2001, background): “In [1], [2], and [10], the coefficients a and b were Hölder continuous (or even smooth ), the matrix A was nondegenerate, and the solutions were a priori locally integrable functions.”
Elliptic and parabolic equations for measures (2009, methodology): “On the one hand, the assumptions and techniques applied in this situation differ considerably from those used for obtaining Gaussian decay of densities in the case of bounded drifts or zero drifts (see [75], [143], [144], [77], [161], and also [8], where some assumptions on div b are used).”
Estimates of Integral Kernels for Semigroups Associated with Second-Order Elliptic Operators with Singular Coefficients (2003, methodology): “The estimates we obtain are expressed in terms of weight functions which are positive supersolutions to the corresponding elliptic equation and its adjoint (in this respect similar to the result in [ 16 ]).”