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, K, & YESBAYEV, A (2020). Solvability and maximal regularity results for a differential equation with diffusion coefficient. Turkish Journal of Mathematics 44 (4): 1304-1316. https://doi.org/10.3906/mat-2002-87
