Nonlinear Schrödinger equation with singularities
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Publication:6612894
DOI10.1007/978-981-19-6434-3_4zbMath1548.35232MaRDI QIDQ6612894
Nevena Dugandžija, Ivana Vojnović
Publication date: 1 October 2024
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Singularity in context of PDEs (35A21) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data
- Generalized solutions to Burgers' equation
- Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
- Scattering in the energy space and below for 3D NLS
- Generalized solutions to conservation laws
- On fractional powers of singular perturbations of the Laplacian
- Generalized solutions to a semilinear wave equation
- Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
- Well posedness of the nonlinear Schrödinger equation with isolated singularities
- Generalized solution to multidimensional cubic Schrödinger equation with delta potential
- On the Schrödinger equation with singular potentials.
- Singular solution of the Hartree equation with a delta potential
- Bilinear estimates and applications to 2d NLS
- Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations
- Singular Hartree equation in fractional perturbed Sobolev spaces
- Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3
- A characterization of singular Schrödinger operators on the half-line
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