V. B. Shakhmurov, “Integral problem for Schrödinger-type equations with the general elliptic part”, TMF, 2021, Volume 209, Number 2,Pages <nobr>243

Integral problem for Schrödinger-type equations with the general elliptic part

V. B. Shakhmurov^ab

^a Antalya Bilim University, Antalya, Turkey
^b Azerbaijan State Economic University, Baku, Azerbaijan

Abstract: The existence, uniqueness, and regularity properties and Strichartz-type estimates for the solution of an integral-type initial value problem for linear and nonlinear Schrödinger equations with the general elliptic leading part are obtained.

Keywords: Schrödinger equation, elliptic operator, local solution, Strichartz type inequalities, regularity properties of PDE.

MSC: AMS 2010: 35Q41, 35K15, 47B25, 47Dxx, 46E40

Received: 27.12.2020
Revised: 11.03.2021

DOI: 10.4213/tmf10050