Turkish Journal of Mathematics
Abstract
We consider a second-order differential equation with rapidly growing intermediate coefficients. We obtain a solvability result in the cases that the diffusion coefficient of equation is unbounded or it tends to zero at the infinity. Under additional conditions, we prove the $L_p - $ maximal regularity estimate for the solution of this equation.
DOI
10.3906/mat-2002-87
Keywords
Second-order differential equation, unbounded intermediate coefficient, existence of a solution, uniqueness, maximal regularity estimate
First Page
1304
Last Page
1316
Recommended Citation
OSPANOV, KORDAN and YESBAYEV, ADILET
(2020)
"Solvability and maximal regularity results for a differential equation with diffusion coefficient,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 16.
https://doi.org/10.3906/mat-2002-87
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/16
