Initial-boundary value problem for the one dimensional Thirring model

I.P Naumkin

doi:10.1016/j.jde.2016.07.003

Initial-boundary value problem for the one dimensional Thirring model

I.P Naumkin

Open Access

https://doi.org/10.1016/j.jde.2016.07.003

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Journal: Journal of Differential Equations	Publication Date: Jul 21, 2016
Citations: 33	License type: publisher-specific-oa

#Dimensional Thirring Model #Global Existence Of Small Solutions + Show 8 more

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Abstract

We consider the inhomogeneous Dirichlet initial-boundary value problem for the one dimensional Thirring model. We prove the local existence of solutions and global existence of small solutions. Moreover, we obtain a sharp estimate in the uniform norm for the global solutions and we prove the existence of a modified low-energy scattering for this model.

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