Maximal regularity result for a singular differential equation in the space of summable functions
Ospanov K.N.
March 2021Elsevier Ltd
Chaos, Solitons and Fractals
2021#144
We give sufficient conditions for the unique solvability and maximal regularity of a generalized solution of a second-order differential equation with unbounded diffusion, drift, and potential coefficients. We prove the compactness of the resolvent of the equation and an upper bound for the Kolmogorov widths of the set of solutions. It is assumed that the intermediate coefficient grows quickly and does not depend on the growth of potential. The diffusion coefficient is positive and can grow or disappear near infinity, i.e. the equation under consideration can degenerate. The study of such equation is motivated by applications in stochastic processes and financial mathematics.
Approximate properties of solutions , Compactness of resolvent , Differential equation , Maximal regularity estimate , Unbounded coefficients
Text of the article Перейти на текст статьи
L.N. Gumilyov Eurasian National University, Satpayev str. 2, Nur-Sultan, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026