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About the Existence Time of Solutions for Field Equations in the One Space Dimension

About the Existence Time of Solutions for Field Equations in the One Space Dimension

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 176–192

Abstract

In this paper, we study the lower bounds problem for the existence time or solutions to the different massive Dinac-Kiein-Gordon equations and with different massive Klein-Gordon equations, in one space dimension, for weakly decaying Cauchy data, of size ε. The results assert that the existence time is (almost) larger than ε^{-4}.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5505

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 176–192

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Field equations