Solvability and maximal regularity results for a differential equation with diffusion coefficient

We consider a second-order differential equation with rapidly growing intermediate coefficients. We obtaina 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.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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