4 papers
math.PR2026
On the parabolic Adams theorem and its applications to diffusion processes
N. V. Krylov
We show how the parabolic version of the Adams theorem and its corollary can be used to estimate in the evolution family associated to a divergence form second-order parabo…
math.AP2025
On solvability of parabolic equations with singular coefficients in odd mixed-norm Morrey-Sobolev spaces
N. V. Krylov
We prove an existence and uniqueness theorem for second-order parabolic equations in the whole space with constant zeroth-order coefficient in mixed-norm Morrey-Sobolev spaces. The…
math.AP2025
Essentials of Real Analysis and Morrey-Sobolev spaces for second-order elliptic and parabolic PDEs with singular first-order coefficients
N. V. Krylov
In recent years we witness growing interest in using Real Analysis methods and results in the theory of nondivergence form partial differential equations (PDEs) and the goal of thi…
math.AP2025
Extending BMO functions in parabolic setting
N. V. Krylov
We prove that one can extend any function given in a cube in to become a functions in almost preserving its $…