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arXiv · 1906.02251

Ill-posedness of the Thirring model below the critical regularity

Sigmund Selberg·Achenef Tesfahun
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Abstract

We consider a nonlinear $L^2$-critical nonlinear Dirac equation in one space dimension known as the Thirring model. Global well-posedness in $L^2$ for this equation was proved by Candy. Here we prove that the equation is ill posed in $L^p$ for $1 \le p < 2$, and in the massless case also in $H^s$ with $s < 0$.

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Sigmund Selberg, Achenef Tesfahun. 2019-08-11. Ill-posedness of the Thirring model below the critical regularity. https://doi.org/10.1063/1.5124096

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