Sine–Gordon theory in a semi-strip
Copyright policy )Sine–Gordon theory in a semi-strip
Initial-boundary value problems for complex sine-Gordon and sine-Gordon equations in a semi--strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for complex sine-Gordon equation. The evolution of the Weyl function as well as an existence result and a procedure to recover solution are given for sine-Gordon equation. It is shown that for a wide class of examples the solutions of the sine-Gordon equation are unbounded in the quarter-plane.
- MEDIZINISCHE UNIVERSITAT GRAZ Austria
- University of Vienna Austria
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, sine-Gordon equation, Initial-boundary value problems for nonlinear higher-order PDEs, Weyl function, inverse spectral transform, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), FOS: Physical sciences, Weyl theory and its generalizations for ordinary differential equations, Mathematics - Spectral Theory, complex sine-Gordon equation, Mathematics - Analysis of PDEs, FOS: Mathematics, Exactly Solvable and Integrable Systems (nlin.SI), initial-boundary value problem, skew-self-adjoint Dirac system, Spectral Theory (math.SP), Analysis of PDEs (math.AP)
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, sine-Gordon equation, Initial-boundary value problems for nonlinear higher-order PDEs, Weyl function, inverse spectral transform, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), FOS: Physical sciences, Weyl theory and its generalizations for ordinary differential equations, Mathematics - Spectral Theory, complex sine-Gordon equation, Mathematics - Analysis of PDEs, FOS: Mathematics, Exactly Solvable and Integrable Systems (nlin.SI), initial-boundary value problem, skew-self-adjoint Dirac system, Spectral Theory (math.SP), Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!