On the existence and uniqueness of the solution for a non-stationary transport equation

被引：0

作者：

Mastorakis, Nikos ^{[1
]}

Martin, Olga ^{[1
]}

机构：

[1] Hellen Naval Acad, Mil Inst Univ Educ, Dept Comp Sci, Terma Hatzikyriakou 18539, Piraeus, Greece

来源：

PROCEEDINGS OF THE 7TH WSEAS INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, ROBOTICS AND AUTOMATION: ADVANCED TOPICS ON SIGNAL PROCESSING, ROBOTICS AND AUTOMATION | 2008年

关键词：

non-stationary transport equation; functional analysis; bilinear form; Hille-Yosida theory; Lax-Milgram theorem;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The neutron transport equation has a significant importance in the radiative transfer theory. In this paper we present a method that allows us to rewrite a mixed problem for an integral-differential equation in an operational form. The existence of a unique solution in a non-stationary case is proved using the concepts of the abstract functional analysis.

引用

页码：104 / 109

页数：6

共 50 条

[1] ON THE SOLUTION OF THE NON-STATIONARY SCHRODINGER EQUATION
Mishcharina, Elena Yuryevna
Libin, Eduard Efimovich
Bubenchikov, Mikhail Alekseevich
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2016, (05): : 28 - 34
[2] Stochastic approach to the numerical solution of the non-stationary Parker's transport equation
Wawrzynczak, A.
Modzelewska, R.
Gil, A.
[J]. 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2014), 2015, 574
[3] Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate
Klibanov, Michael V.
Pamyatnykh, Sergey E.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (01) : 352 - 365
[4] EXISTENCE AND UNIQUENESS OF SINGULAR SOLUTION TO STATIONARY SCHRoDINGER EQUATION WITH SUPERCRITICAL NONLINEARITY
Selem, Fouad Hadj
Kikuchi, Hiroaki
Wei, Juncheng
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (10) : 4613 - 4626
[5] Existence and uniqueness of a stationary solution of a nonlinear stochastic differential equation with memory
Bakhtin, Y
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2002, 47 (04) : 684 - 688
[6] GENERALIZED BOUNDARY-CONDITIONS IN AN EXISTENCE AND UNIQUENESS PROOF FOR THE SOLUTION OF THE NON-STATIONARY ELECTRON BOLTZMANN-EQUATION BY MEANS OF OPERATOR-SEMIGROUPS
BARTOLOMAUS, G
WILHELM, J
[J]. BEITRAGE AUS DER PLASMAPHYSIK-CONTRIBUTIONS TO PLASMA PHYSICS, 1983, 23 (06): : 603 - 613
[7] ON SOLUTION OF EMISSION TRANSFERENCE EQUATION WITH NON-STATIONARY MEMBER
DRULIS, VN
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII AVIATSIONAYA TEKHNIKA, 1989, (02): : 37 - 40
[8] SOLUTION FOR A NON-STATIONARY RADIATIVE-TRANSFER EQUATION
WANG, AP
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1989, 7 (02) : 193 - 199
[9] ON THE EXISTENCE OF A SOLUTION OF A CLASS OF NON-STATIONARY FREE BOUNDARY PROBLEMS
Bousselsal, Mahmoud
Lyaghfouri, Abdeslem
Zaouche, Elmehdi
[J]. GLASNIK MATEMATICKI, 2018, 53 (02) : 449 - 475
[10] Schrodinger-type identity to the existence and uniqueness of a solution to the stationary Schrodinger equation
Sun, Delin
[J]. BOUNDARY VALUE PROBLEMS, 2019,

← 1 2 3 4 5 →