Generalized Dirichlet to Neumann map for moving initial-boundary value problems

DOI10.1063/1.2405405zbMath1121.35116arXivmath-ph/0611009OpenAlexW2000840193MaRDI QIDQ3442177

Beatrice Pelloni, Athanassios S. Fokas

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611009

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Free boundary problems for PDEs (35R35)

Related Items (9)

Generalized Dirichlet-to-Neumann Map in Time-Dependent Domains ⋮ Quaternions, evaluation of integrals and boundary value problems ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ Upper Estimates for a Moving Boundary Problem for Resonant Nonlinear Schrödinger Equations ⋮ Moving boundary value problems for the wave equation ⋮ Stability of Parallel Fluid Loaded Plates: A Nonlocal Approach ⋮ Moving boundary i.b.v.p.s for Schrödinger equations: solution bounds and related results ⋮ Nonlinear diffusion in arterial tissues: a free boundary problem ⋮ Dirichlet-to-Neumann Map for a Nonlinear Diffusion Equation

Cites Work

• Unnamed Item
• Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms
• An inversion formula for the attenuated \(X\)-ray transformation
• Integrable evolution equations in time-dependent domains
• A unified transform method for solving linear and certain nonlinear PDEs

This page was built for publication: Generalized Dirichlet to Neumann map for moving initial-boundary value problems