Inverse problem for the heat equation and the Schrödinger equation on a tree

DOI10.1088/0266-5611/28/1/015011zbMath1238.35187OpenAlexW2087612603MaRDI QIDQ3224130

Lionel Rosier, Liviu I. Ignat, Ademir Fernando Pazoto

Publication date: 29 March 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/563

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Heat equation (35K05) Inverse problems for PDEs (35R30) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (8)

Inverse problem on a tree-shaped network: unified approach for uniqueness ⋮ Hardy uncertainty principle for the linear Schrödinger equation on regular quantum trees ⋮ Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation ⋮ Inverse problems for the fourth order Schrödinger equation on a finite domain ⋮ Observability and control of parabolic equations on networks with loops ⋮ Null controllability of a degenerate Schrödinger equation ⋮ An inverse problem for the Schrödinger equation with variable coefficients and lower order terms ⋮ Controllability for Schrödinger type system with mixed dispersion on compact star graphs

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