Zobrazeno 1 - 10
of 43
pro vyhledávání: '"A. V. Faminskii"'
Autor:
Andrei V. Faminskii
Publikováno v:
Axioms, Vol 12, Iss 12, p 1127 (2023)
A control problem with final overdetermination is considered for the higher-order nonlinear Schrödinger equation on a bounded interval. The boundary condition on the space derivative is chosen as the control. Results on the global existence of solut
Externí odkaz:
https://doaj.org/article/3f30c20225c64d95a3b4576cdf11dc2e
Autor:
A. V. Faminskii, E. V. Martynov
Publikováno v:
Journal of Mathematical Sciences. 265:849-864
In this paper, we consider initial-boundary value problem on semiaxis for generalized Kawahara equation with higher-order nonlinearity. We obtain the result on existence and uniqueness of the global solution. Also, if the equation contains the absorb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5ec44b4f225e0153dcfb8740e0670fe
https://doi.org/10.1007/s10958-022-06089-z
https://doi.org/10.1007/s10958-022-06089-z
Autor:
A. V. Faminskii
Publikováno v:
Journal of Mathematical Sciences. 265:313-344
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::436cc25e4c5a2166fbdf5b58b225ce5c
https://doi.org/10.1007/s10958-022-06054-w
https://doi.org/10.1007/s10958-022-06054-w
Autor:
A C Mauricio Sepúlveda, Andrei V. Faminskii, Wellington J. Corrêa, Rodrigo Véjar-Asem, Marcelo M. Cavalcanti
Publikováno v:
Computers & Mathematics with Applications. 96:188-208
In this work, we study at the L 2 – level global well-posedness as well as long-time stability of an initial-boundary value problem, posed on a bounded interval, for a generalized higher order nonlinear Schrodinger equation, modeling the propagatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7689a36ef0862c478905bf3b89896bbf
https://doi.org/10.1016/j.camwa.2021.05.001
https://doi.org/10.1016/j.camwa.2021.05.001
Autor:
A. V. Faminskii
Publikováno v:
Lobachevskii Journal of Mathematics. 42:875-888
An initial-boundary value problem posed on a bounded interval is considered for a class of odd-order (more than one) quasilinear evolution equations with general nonlinearity. Assumptions on the equations do not provide global a priori estimates for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d094d0f34b33de8ed4bd100af85ddfee
https://doi.org/10.1134/s1995080221050048
https://doi.org/10.1134/s1995080221050048
Autor:
A V Faminskii
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 65:513-546
In this paper, we consider questions of inner regularity of weak solutions of initial-boundary value problems for the Zakharov-Kuznetsov equation with two spatial variables. The initial function is assumed to be irregular, and the main parameter gove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1cabaeb51bfde8349c6fe3588c64f3b
https://doi.org/10.22363/2413-3639-2019-65-3-513-546
https://doi.org/10.22363/2413-3639-2019-65-3-513-546
Autor:
Andrei V. Faminskii, Nikolai A. Larkin
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 28, Iss 1, Pp 67-77 (2010)
We study in a rectangle Q_T = (0, T)×(0, 1) global well-posedness of nonhomo-geneous initial-boundary value problems for general odd-order quasilinear partial differential equations. This class of equations includes well-known Korteweg–de Vries an
Externí odkaz:
https://doaj.org/article/da97932e8da14baab788ece2b901a469
Autor:
Andrei V. Faminskii, Nikolai A. Larkin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2010, Iss 01,, Pp 1-20 (2010)
This paper studies nonhomogeneous initial-boundary value problems for quasilinear one-dimensional odd-order equations posed on a bounded interval. For reasonable initial and boundary conditions we prove existence and uniqueness of global weak and reg
Externí odkaz:
https://doaj.org/article/4daacf42ab1244d283bc44379c00ae85
Autor:
Andrei V. Faminskii
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 127,, Pp 1-23 (2008)
This paper deals with non-homogeneous initial-boundary value problems for the Zakharov-Kuznetsov equation, which is one of the variants of multidimensional generalizations of the Korteweg-de Vries equation. Results on local and global well-posedness
Externí odkaz:
https://doaj.org/article/11e77ce8ee3b4cccb6437dfdd51f7d6c
Autor:
Andrei V. Faminskii
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 25, Iss 1-2, Pp 91-108 (2007)
The present paper is a survey concerned with certain aspects of solvability and well-posedness of initial and initial-boundary value problems for various quasilinear evolution equations of the third order. This class includes, for example, Korteweg-d
Externí odkaz:
https://doaj.org/article/0f330683f1c840eb8d5cb5829ba5403f