Wiener Tauberian theorem and half-space problems for parabolic and elliptic equations

• Published in: AIMS mathematics Vol. 9; no. 4; pp. 8174 - 8191
• Main Author: Muravnik, Andrey
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2024
• Subjects: asymptotical closeness; differential-difference equations; elliptic equations; parabolic equations; quasilinear equations; stabilization

For various kinds of parabolic and elliptic partial differential and differential-difference equations, results on the stabilization of solutions are presented. For the Cauchy problem for parabolic equations, the stabilization is treated as the existence of a limit as the time unboundedly increases....