Multipoint problem for Schrödinger type equations with general elliptic part. (English) Zbl 1535.35155
Summary: The existence, uniqueness, regularity properties and Strichartz type estimates for the solution of multipoint problem for linear and nonlinear Schrödinger equations with general elliptic leading part are obtained.
MSC:
| 35Q41 | Time-dependent Schrödinger equations and Dirac equations |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 47B25 | Linear symmetric and selfadjoint operators (unbounded) |
| 46E40 | Spaces of vector- and operator-valued functions |
Keywords:
Schrödinger equations; elliptic operators; local solutions; Strichartz-type inequalities; regularity properties of PDEReferences:
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