Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609910 | Journal of Differential Equations | 2016 | 26 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mark Anthony C. Tolentino, Dennis B. Bacani, Hidetoshi Tahara,