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Global Stability for a Class of Nonlinear PDE with non-local term
- Publication Year :
- 2017
-
Abstract
- This paper is concerned with establishing global asymptotic stability results for a class of non-linear PDE which have some similarity to the PDE of the Lifschitz-Slyozov-Wagner model. The method of proof does not involve a Lyapounov function. It is shown that stability for the PDE is equivalent to stability for a differential delay equation. Stability for the delay equation is proven by exploiting certain maximal properties. These are established by using the methods of optimal control theory.<br />Comment: 49 pages
- Subjects :
- Mathematics - Analysis of PDEs
35F20, 34K20, 49L20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1709.07737
- Document Type :
- Working Paper