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

Title & Authors
ON THE GROWTH RATE OF SOLUTIONS TO GROSS-NEVEU AND THIRRING EQUATIONS
Huh, Hyungjin;

Abstract
We study the growth rate of $\small{H^1}$ Sobolev norm of the solutions to Gross-Neveu and Thirring equations. A well-known result is the double exponential rate. We show that the $\small{H^1}$ Sobolev norm grows at most an exponential rate exp($\small{ct^2}$).
Keywords
Gross-Neveu;Thirring;Sobolev norm;$\small{L^{\infty}}$ bound;
Language
English
Cited by
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