Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Elena I. Kaikina"'
Publikováno v:
International Journal of Differential Equations, Vol 2018 (2018)
We study the equations governing the high-speed transmission in long-haul electrical systems i∂tu-1/3∂x3u=iλ∂xu2u, t,x∈R+×R, u0,x=u0x, x∈R, where λ∈R, ∂xα=F-1ξαF, and F is the Fourier transformation. Our purpose in this paper is t
Externí odkaz:
https://doaj.org/article/817b9f5e1d92412ba77a44b2a3f58fd9
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 149,, Pp 1-16 (2011)
We consider initial-boundary value problems for the Ott-Sudan-Ostrovskiy equation on a right half-line. We show the the existence of solutions, global in time, and study their asymptotic behavior for large time.
Externí odkaz:
https://doaj.org/article/e084d71dee1b4a6192df64ecf9c45ba8
Autor:
Elena I. Kaikina
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 109, Pp 1-25 (2007)
We study nonlinear pseudoparabolic equations, on the half-line in a critical case,$displaylines{ partial _{t}( u-u_{xx}) -alpha u_{xx}=lambda |u| u,quad xin mathbb{R}^{+},; t>0, cr u( 0,x) =u_{0}( x) , quad xin mathbb{R}^{+}, cr u(t,0)=0,}$$ where $a
Externí odkaz:
https://doaj.org/article/8b70b19af42a4d6daea3a6ca374cd769
Autor:
Rosa E. Cardiel, Elena I. Kaikina
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Pp 1-16 (2006)
We study the initial-boundary value problem for nonlinear pseudodifferential equations, on a half-line, $$displaylines{ u_{t}+mathcal{lambda}| u| ^{sigma}u+mathcal{L} u=0,quad(x,t)in{mathbb{R}^{+}}imes{mathbb{R}^{+}},cr u(x,0)=u_{0}(x),quad xin{mathb
Externí odkaz:
https://doaj.org/article/97b17f009f55405a95d739084fdb1a71
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 8, Pp 377-405 (2004)
Externí odkaz:
https://doaj.org/article/5cd4813743634b49a3a12be9472083a9
Autor:
Nakao Hayashi, Elena I. Kaikina
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
We consider the initial-boundary value problem for Benjamin-Ono equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial
Externí odkaz:
https://doaj.org/article/24cc6dc50b134b8bafa4bd59a74cdc60
Autor:
Elena I. Kaikina
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
We are interested in the global existence and large-time behavior of solutions to the initial-boundary value problem for critical convective-type dissipative equations ut+ℕ(u,ux)+(an∂xn+am∂xm)u=0, (x,t)∈ℝ+×ℝ+, u(x,0)=u0(x), x∈ℝ+, ∂
Externí odkaz:
https://doaj.org/article/182fc97f4c324c1a91cc914cf3bdc35f
Publikováno v:
Asymptotic Analysis. 130:261-295
We study the nonlinear Neumann boundary value problem for semilinear heat equation ∂ t u − Δ u = λ | u | p , t > 0 , x ∈ R + n , u ( 0 , x ) = ε u 0 ( x ) , x ∈ R + n , − ∂ x u ( t , x ′ , 0 ) = γ | u | q ( t , x ′ , 0 ) , t > 0 ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da213ac9063b66d9f56b307e11712179
https://doi.org/10.3233/asy-211751
https://doi.org/10.3233/asy-211751
Publikováno v:
Journal of Differential Equations. 331:70-98
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::701bb3f80cb0942ec43bc755de068a00
https://doi.org/10.1016/j.jde.2022.05.017
https://doi.org/10.1016/j.jde.2022.05.017
Autor:
Elena I. Kaikina, N. Sotelo-Garcia
Publikováno v:
Journal of Differential Equations. 280:405-434
We consider the stochastic nonlinear Schrodinger equations on the half-line with mixed boundary conditions containing Brownian noise. The main novelty of this work is a convenient framework for the analysis of such problems. Our approach allows us to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6ef40c210894958437f048a7f093e0f
https://doi.org/10.1016/j.jde.2020.12.035
https://doi.org/10.1016/j.jde.2020.12.035