Advanced search
Publication Cover
Transport Theory and Statistical Physics Volume 14, 1985 - Issue 5
Journal homepage
17
Views
34
CrossRef citations to date
0
Altmetric
Original Articles

A spectral, mapping theorem for the exponential function in ltnear transport theory

Peter Tokac Mathematisches Institut der Universitaet Wien, Strudlhofgasse 4 A-1090, Wien, Austria; School of Mathematics, University of Minnesota, Minneapolis, MN, 55455
Pages 655-667 | Received 04 Jan 1985, Published online: 19 Aug 2006

Citations (34)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (7)

Xianwen Zhang. (2003) Spectral Interpolation of the Linear Boltzmann Operator in L Spaces. Transport Theory and Statistical Physics 32:1, pages 63-71.
Read now
Song Degong. (1997) Some notes on the spectral properties of Co semigroups generated by linear transport operators. Transport Theory and Statistical Physics 26:1-2, pages 233-242.
Read now
Zhu Guantian, Song Degong & Wang Miansen. (1997) Distributed parameter systems governed by linear transport equations. Transport Theory and Statistical Physics 26:1-2, pages 167-180.
Read now
Zhang Xianwen & Liang Benzhong. (1997) The spectrum of a one-velocity transport operator with integral boundary conditions of Maxwell type. Transport Theory and Statistical Physics 26:1-2, pages 85-102.
Read now
K. Latrach. (1994) Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry. Transport Theory and Statistical Physics 23:5, pages 633-670.
Read now
Khalid Latrach. (1993) Description of the real point spectrum for a class of neutron transport operators. Transport Theory and Statistical Physics 22:5, pages 595-629.
Read now
Khalid Latrach. (1993) Compactness properties for linear transport operators with abstract boundary conditions in slab geometry. Transport Theory and Statistical Physics 22:1, pages 39-64.
Read now

Articles from other publishers (27)

Abdul-Majeed Al-Izeri & Khalid Latrach. (2020) On the Asymptotic Spectrum of a Transport Operator with Elastic and Inelastic Collision Operators. Acta Mathematica Scientia 40:3, pages 805-823.
Crossref
Khalid Latrach, Hssaine Oummi & Ahmed Zeghal. (2019) Existence Results for Nonlinear Mono-energetic Singular Transport Equations: $$L_1$$ L 1 -Spaces. Mediterranean Journal of Mathematics 16:1.
Crossref
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 309 326 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 283 308 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 193 281 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 173 192 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 139 171 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 121 137 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 101 119 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 23 99 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 441 577 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 413 439 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 375 411 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 327 374 .
Aref JeribiAref Jeribi. 2015. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Spectral Theory and Applications of Linear Operators and Block Operator Matrices 1 22 .
Mustapha Mokhtar-Kharroubi. 2015. Evolutionary Equations with Applications in Natural Sciences. Evolutionary Equations with Applications in Natural Sciences 319 386 .
Abdelkader Dehici. (2013) Some spectral properties in Banach spaces and application to transport theory. Afrika Matematika 25:4, pages 933-947.
Crossref
Mustapha Mokhtar-Kharroubi. (2014) On exponential trend to equilibrium for conservative linear kinetic equations on the torus . Journal of Functional Analysis 266:11, pages 6418-6455.
Crossref
K. Latrach, H. Megdiche & M.A. Taoudi. (2009) A compactness result for perturbed semigroups and application to a transport model. Journal of Mathematical Analysis and Applications 359:1, pages 88-94.
Crossref
K. Latrach & B. Lods. (2008) Spectral analysis of transport equations with bounce‐back boundary conditions. Mathematical Methods in the Applied Sciences 32:11, pages 1325-1344.
Crossref
Mohammed Sbihi. (2006) Spectral theory of neutron transport semigroups with partly elastic collision operators. Journal of Mathematical Physics 47:12.
Crossref
Khalid Latrach & Hatem Megdiche. (2006) Spectral properties and regularity of solutions to transport equations in slab geometry. Mathematical Methods in the Applied Sciences 29:17, pages 2089-2121.
Crossref
Mustapha Mokhtar-Kharroubi. (2005) Optimal spectral theory of the linear Boltzmann equation. Journal of Functional Analysis 226:1, pages 21-47.
Crossref
Bertrand Lods. (2004) On linear kinetic equations involving unbounded cross‐sections. Mathematical Methods in the Applied Sciences 27:9, pages 1049-1075.
Crossref
Mustapha Mokhtar-Kharroubi. (2004) On the convex compactness property for the strong operator topology and related topics. Mathematical Methods in the Applied Sciences 27:6, pages 687-701.
Crossref
Khalid Latrach. (2009) Compactness properties for perturbed semigroups and application to transport equation. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 69:1, pages 25-40.
Crossref
L.W. Weis. (1988) A generalization of the Vidav-Jorgens perturbation theorem for semigroups and its application to transport theory. Journal of Mathematical Analysis and Applications 129:1, pages 6-23.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.