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http://dx.doi.org/10.4134/CKMS.2014.29.2.263

ON THE GROWTH RATE OF SOLUTIONS TO GROSS-NEVEU AND THIRRING EQUATIONS  

Huh, Hyungjin (Department of Mathematics Chung-Ang University)
Publication Information
Communications of the Korean Mathematical Society / v.29, no.2, 2014 , pp. 263-267 More about this Journal
Abstract
We study the growth rate of $H^1$ Sobolev norm of the solutions to Gross-Neveu and Thirring equations. A well-known result is the double exponential rate. We show that the $H^1$ Sobolev norm grows at most an exponential rate exp($ct^2$).
Keywords
Gross-Neveu; Thirring; Sobolev norm; $L^{\infty}$ bound;
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