Dissipative properties of a nonlinear differential operators equation

DOI10.1016/0022-247X(79)90276-2zbMath0426.35026WikidataQ115364601 ScholiaQ115364601MaRDI QIDQ1135992

Alan P. Wang

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremnonlinear equationsscattering processesimpedancedissipative propertiesdissipative scattering matrixleft reflective dissipationright reflective dissipation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Scattering theory for PDEs (35P25) First-order nonlinear hyperbolic equations (35L60) Nonlinear first-order PDEs (35F20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (7)

The four-ports dynamic system ⋮ Scattering theory and linear state-space estimation ⋮ Star-diagonalization of 3\(\times 3\) scattering matrices ⋮ Invariant imbedding and inverse problems with applications to radiative transfer ⋮ Invariant imbedding and nonpredictive operators ⋮ Identification of a dissipative transport system ⋮ Solutions of a dissipative diffusion equation in a Hilbert space

Cites Work

• Impedance of a linear system with anisotropic coefficients
• TIME-DEPENDENT PRINCIPLES OF INVARIANCE
• The Trace in Finite Operator Algebras
• On the Relation of Transmission-Line Theory to Scattering and Transfer
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