Abstract Kinetic Equations with Positive Collision Operators

DOI10.1007/978-3-7643-8911-6_9zbMath1189.47079arXiv0708.2510OpenAlexW1888116127MaRDI QIDQ3613526

Illya M. Karabash

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2510

zbMATH Keywords

similaritytransport equationskinetic equations\(J\)-self-adjoint operatorequations of mixed typeforward-backward parabolic equationsregular and singular critical points

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs of mixed type (35M10) Applications of operator theory in the physical sciences (47N50) Transport processes in time-dependent statistical mechanics (82C70) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity ⋮ Further existence results for elliptic-parabolic and forward-backward parabolic equations ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ On solvability of boundary value problems for kinetic operator-differential equations ⋮ Two point inverse problems for singular first order operator-differential equations ⋮ Elliptic approximation of forward-backward parabolic equations ⋮ On some classes of nonlocal boundary-value problems for singular parabolic equations

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