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Asymptotics for critical nonconvective type equations

IJMMS ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS NAKAO HAYASHI ELENA I. KAIKINA PAVEL I. NAUMKIN We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of ... 1.1 is proved. Acknowledgments. The work of Elena I. Kaikina and Pavel I. Naumkin is partially supported by CONACYT. The authors are grateful to the unknown referees for many useful suggestions and

Asymptotics for critical nonconvective type equations

IJMMS ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS NAKAO HAYASHI ELENA I. KAIKINA PAVEL I. NAUMKIN We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of ... 1.1 is proved. Acknowledgments. The work of Elena I. Kaikina and Pavel I. Naumkin is partially supported by CONACYT. The authors are grateful to the unknown referees for many useful suggestions and

High-Speed Transmission in Long-Haul Electrical Systems

?ticas, UNAM Campus Morelia , AP 61-3 Xangari, 58089 Morelia, MICH , Mexico Correspondence should be addressed to Elena I. Kaikina; We study the equations governing the high-speed transmission in long

High-Speed Transmission in Long-Haul Electrical Systems

?ticas, UNAM Campus Morelia , AP 61-3 Xangari, 58089 Morelia, MICH , Mexico Correspondence should be addressed to Elena I. Kaikina; We study the equations governing the high-speed transmission in long

Benjamin-Ono Equation on a Half-Line

Elena I. Kaikina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the

Critical convective-type equations on a half-line

? Lp,a < ? . k Elena I. Kaikina 3 where ? > 0 is sufficiently small. We assume that the nonlinear term N(u, ux) is of critical convective type from the point of view of the large-time asymptotic ... asymptotic formulas (4.2)), therefore by the Cauchy theorem and symmetrical properties of function H, we can change the contour of integration ? to the imaginary axis (?i?, i?) to get Elena I. Kaikina 11 (3.16

Critical Nonlinear Nonlocal Equations on a Half-Line

We study nonlinear nonlocal equations on a half-line in the critical case $$ \left\{ {\begin{array}{l} {\partial _{{t\,}} u + \,\beta |u|^{\alpha } \,u\, + \,\mathbb{K}u = 0,\,\,\,\,x\, > \,0,\,\,t > \,0,\,} \\ {u(0,x)\, = \,u_{0} \,(x)\,,\,\,\,\,x\, > \,0,} \\ {\partial _{x}^{{j - 1\,}} \,u\,(0,t)\, = \,0,\,j\, = \,1,\,\ldots,\,M} \\ \end{array} } \right. $$ where \(\beta \in...