Stability of stationary transport equations with accretive collision operators

DOI10.1006/jfan.2000.3587zbMath0967.47033OpenAlexW2010828661MaRDI QIDQ1577670

Cornelis V. M. van der Mee, Leiba Rodman, André C. M. Ran

Publication date: 27 August 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b75b54aa1da935a7e778586afe2bd5099b120c87

zbMATH Keywords

stabilityLax pairpositive semidefinite operatorsspectral decompositionsstationary transport equationsaccretive admissible pairsaccretive collision operatorsrobustness with respect to small perturbations

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) General theory of partial differential operators (47F05)

Related Items

On solvability of boundary value problems for kinetic operator-differential equations ⋮ Two point inverse problems for singular first order operator-differential equations ⋮ Abstract Kinetic Equations with Positive Collision Operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Stability of solutions of the operator differential equation in transport theory
• Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
• Boundary value problems in abstract kinetic theory
• A matricial boundary value problem which appears in the transport theory
• Abstract kinetic equations with accretive collision operators
• An abstract treatment of some forward-backward problems of transport and scattering
• Spectral methods in linear transport theory
• Spectral analysis of the transport equation II. Stability and application to the Milne problem
• Classes of linear operators. Vol. I
• The Boltzmann equation and its applications
• Dissipative matrices and invariant maximal semidefinite subspaces
• Compact linear operators on functional spaces with two norms
• Indefinite Sturm-Liouville problems and half-range completeness
• Diskrete Konvergenz linearer Operatoren. II
• Absolutely convergent Fourier expansions for non-commutative normed rings
• Half‐ and finite‐range completeness for the equation of transfer of polarized light
• Whither existence theory?
• Stability of solutions to Sturm-Liouville diffusion equations
• Polarized light transfer above a reflecting surface
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• [Russian Text Ignored.]