Gevrey Problem for a Mixed Parabolic Equation with a Singular Coefficient

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 254; no. 6; pp. 718 - 730
• Main Author: Mamanazarov, A. O.
• Format: Journal Article
• Language: English
• Published: New York Springer US 02.05.2021; Springer; Springer Nature B.V
• Subjects: Differential equations; Mathematics; Mathematics and Statistics; Singular integral equations; Uniqueness; singular coefficient; 35K20; mixed-parabolic equation; 35A01; existence of solution; uniqueness of solution; Gevrey problem

In this paper, we examine the unique solvability of the Gevrey problem for a mixed parabolic equation with singular coefficients in a band. We prove the existence and uniqueness of a solution to the problem stated. The uniqueness of a solution is proved by the method of energy integrals and the exis...