Solvability and maximal regularity results for a differential equation with diffusion coefficien
Kordan Nauryzkhanovich Ospanov, A.N. Yesbayev · TURKISH JOURNAL OF MATHEMATICS · 2020
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.