On existence of solutions for Boltzmann continuous slowing down transport equation

DOI10.1016/j.jmaa.2017.11.052zbMath1382.35183OpenAlexW2773842064MaRDI QIDQ1688837

Michael Herty, Martin Frank, Jouko Tervo, Petri Kokkonen

Publication date: 11 January 2018

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

Full work available at URL: https://erepo.uef.fi/handle/123456789/5185

zbMATH Keywords

optimal controllinear Boltzmann transport equationdissipative operatorsdose calculationcontinuous slowing down approximationinverse radiation therapy planning

Mathematics Subject Classification ID

Controllability (93B05) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Biophysics (92C05) Weak solutions to PDEs (35D30) Boltzmann equations (35Q20)

Related Items (4)

On Global Existence and Regularity of Solutions for a Transport Problem Related to Charged Particles ⋮ On approximative linear Boltzmann transport equation for charged particles ⋮ A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy ⋮ \(L^1\) penalization of volumetric dose objectives in optimal control of PDEs

Uses Software

• Global Optimization Toolbox For Maple

Cites Work

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