Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line
DOI10.7153/mia-2022-25-34zbMath1490.35103arXiv2110.01223OpenAlexW3202720580MaRDI QIDQ5078952
Kivilcim Alkan, Türker Özsarı, Konstantinos Kalimeris
Publication date: 25 May 2022
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.01223
Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Time-dependent Schrödinger equations and Dirac equations (35Q41) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane
- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
- The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line
- Well-posedness of the initial-boundary value problem for the fourth-order nonlinear Schrödinger equation
- Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane
- The nonlinear Schrödinger equation on the half-line
- A Unified Approach to Boundary Value Problems
- A unified transform method for solving linear and certain nonlinear PDEs
- Fokas’s Unified Transform Method for linear systems
- THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
- Dispersion estimates for fourth order Schrödinger equations
- Well-posedness of the nonlinear Schrödinger equation on the half-plane
- Fokas method for linear boundary value problems involving mixed spatial derivatives
- The Method of Fokas for Solving Linear Partial Differential Equations
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