## Dedicated to the memory of Fritz John Ωε (|∇u| 2 + u 2 ). A solution of (0.2) corresponds to a positive function u ∈ H 1 0 (Ω ε ) that is a stationary point of
Cr-Inclination Theorems for Singularly Perturbed Equations
✍ Scribed by Pavol Brunovský
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 162 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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Under reasonable conditions the solution of a singularly perturbed initial-value problem converges as a distribution to the solution of the reduced problem. Key Wo~Linear differential equations; Laplace transforms; boundary-value problems; optimal control; singular control Abatraet--A singularly per
A singularly perturbed zero-sum differential game with full information is considered. Upper and lower value functions of this game are shown to have limits as the singular perturbations parameter tends to zero. These limits are established to coincide with viscosity solutions of some Hamilton᎐Jacob