The Goursat problem for the sine-Gordon equation and the inverse spectral problem

zbMath0924.35145MaRDI QIDQ1333670

Alexander L. Sakhnovich

Publication date: 5 October 1994

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemsine-Gordon equationGoursat problemmethod of the inverse spectral problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Inverse problems for PDEs (35R30) Stochastic stability in control theory (93E15)

Related Items (8)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems ⋮ Evolution of Weyl Functions and Initial-Boundary Value Problems ⋮ Sine-Gordon theory in a semi-strip ⋮ Nonlinear Schrödinger equation in a semi-strip: evolution of the Weyl-Titchmarsh function and recovery of the initial condition and rectangular matrix solutions from the boundary conditions ⋮ On the compatibility condition for linear systems and a factorization formula for wave functions ⋮ Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation ⋮ Semiseparable integral operators and explicit solution of an inverse problem for a skew-self-adjoint Dirac-type system

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