Geodesic
Integral problem for Schr\"{o}dinger-type equations with the~general elliptic part
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 243-257

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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. 
@article{TMF_2021_209_2_a2,
     author = {V. B. Shakhmurov},
     title = {Integral problem for {Schr\"{o}dinger-type} equations with the~general elliptic part},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {243--257},
     publisher = {mathdoc},
     volume = {209},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_209_2_a2/}
}
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V. B. Shakhmurov. Integral problem for Schr\"{o}dinger-type equations with the~general elliptic part. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 243-257. http://geodesic.mathdoc.fr/item/TMF_2021_209_2_a2/