On the Lifespan of Solutions to Nonlinear Cauchy Problems With Small Analytic Data

Authors

Mark Anthony C. Tolentino, Ateneo de Manila UniversityFollow
Dennis B. Bacani, Sophia University
Hidetoshi Tahara, Sophia University

Document Type

Article

Publication Date

9-26-2015

Abstract

The paper studies the lifespan of solutions to Cauchy problems for nonlinear analytic partial differential equations with small analytic data. It is proved that the lifespan of the solution becomes longer as the initial data become smaller. The dependence of the lifespan on the smallness of the data can be sharply described by the property of the equation.

Recommended Citation

Tolentino, M. A. C., Bacani, D. B., & Tahara, H. (2015). On the lifespan of solutions to nonlinear Cauchy problems with small analytic data. Journal of Differential Equations, 260(1), 897–922. https://doi.org/10.1016/j.jde.2015.09.013