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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 16
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 1, February 2009
  4. Critical Nonlinear Nonlocal Equations on a Half-Line
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 6, December 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 5, October 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 4, August 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 3, July 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 2, April 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 1, February 2009
Existence of Periodic Solutions for the Quasi-Static Thermoelastic Thermistor Problem
Reverse Approximation of Energetic Solutions to Rate-Independent Processes
Infinite-Time Quenching in a Fast Diffusion Equation with Strong Absorption
Critical Nonlinear Nonlocal Equations on a Half-Line
Principal Eigenvalues for Isaacs Operators with Neumann Boundary Conditions
A Simple Partial Regularity Proof for Minimizers of Variational Integrals
Velocity Averaging Lemmas in Hyperbolic Sobolev Spaces for the Kinetic Transport Equation with Velocity Field on the Sphere
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Critical Nonlinear Nonlocal Equations on a Half-Line

Content Provider SpringerLink
Author Ruiz Paredes, Hector F. Kaikina, Elena I. Mendez Navarro, Jesus A. Guardado Zavala, Leonardo
Copyright Year 2009
Abstract 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 $$\beta \in {\mathbf{C}}$$ . The linear operator $${\mathbb{K}}$$ is a pseudodifferential operator defined by the inverse Laplace transform with dissipative symbol $$K(p) = E_{\alpha}p^{\alpha}$$ , the number $$M = [\frac{\alpha} {2}]$$ . The aim of this paper is to prove the global existence of solutions to the inital-boundary value problem (0.1) and to find the main term of the large time asymptotic representation of solutions in the critical case.
Ending Page 77
Page Count 15
Starting Page 63
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 16
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-01-30
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Boundary value problems for pseudodifferential operators Analysis fractional derivative Dissipative nonlinear evolution equations large time asymptotics Asymptotic behavior of solutions
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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