Abstract
Our goal is to study the global existence and large time asymptotic behavior of solutions to the Neumann initial-boundary value problem for the nonlinear nonlocal equation on a half-line
where the nonlinear term is , with , and is a pseudodifferential operator defined by the inverse Laplace transform
where . We prove that if the initial data for , then there exists a unique solution
for the inital-boundary value problem. We also obtain the large time asymptotic formulas for the solutions...
Acknowledgement
We are grateful to an unknown referee for many useful suggestions and comments.
Citation
Rosa E. Cardiel-Cervantes. Pavel I. Naumkin. "Neumann problem for a nonlinear nonlocal equation on a half-line." SUT J. Math. 45 (1) 1 - 23, January 2009. https://doi.org/10.55937/sut/1248706004
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