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Volume 13, Issue 2
About the Existence Time of Solutions for Field Equations in the One Space Dimension

Daoyuan Fang & Kaitai Li

J. Part. Diff. Eq., 13 (2000), pp. 176-192.

Published online: 2000-05

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  • 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}.
  • Keywords

Field equations weakly decaying data existence time estimate

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@Article{JPDE-13-176, author = {}, title = {About the Existence Time of Solutions for Field Equations in the One Space Dimension}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {2}, pages = {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}.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5505.html} }
TY - JOUR T1 - About the Existence Time of Solutions for Field Equations in the One Space Dimension JO - Journal of Partial Differential Equations VL - 2 SP - 176 EP - 192 PY - 2000 DA - 2000/05 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5505.html KW - Field equations KW - weakly decaying data KW - existence time estimate AB - 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}.
Daoyuan Fang & Kaitai Li. (2019). About the Existence Time of Solutions for Field Equations in the One Space Dimension. Journal of Partial Differential Equations. 13 (2). 176-192. doi:
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