Inverse problems for the higher order nonlinear Schrödinger equation
DOI10.1007/s10958-023-06614-8OpenAlexW4386097203MaRDI QIDQ6187915
Andrei V. Faminskii, E. V. Martynov
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-023-06614-8
Control/observation systems governed by partial differential equations (93C20) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse problems in optimal control (49N45) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Persistence of solutions to higher order nonlinear Schrödinger equation
- Stabilization of the higher order nonlinear Schrödinger equation with constant coefficients
- Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
- On the generalized Korteweg-de Vries type equations
- A higher-order nonlinear Schrödinger equation with variable coefficients.
- Control problems with an integral condition for Korteweg-de Vries equation on unbounded domains
- Unique continuation property for a higher order nonlinear Schrödinger equation
- Controllability problems for the Korteweg-de Vries equation with integral overdetermination
- Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
- Stabilization of higher order Schrödinger equations on a finite interval. I
- Control results with overdetermination condition for higher order dispersive system
- On one control problem for Zakharov-Kuznetsov equation
- Well-posedness of an inverse problem of a time-dependent Ginzburg-Landau model for super\-con\-ductivity
- Sharp global well-posedness for a higher order Schrödinger equation
- Inverse problems for the generalized Kawahara equation
- THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
- A nonlinear inverse problem of the Korteweg–de Vries equation
- Local solvability of an inverse problem to the density-dependent Navier–Stokes equations
- The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis
This page was built for publication: Inverse problems for the higher order nonlinear Schrödinger equation
