We establish a unique stable solution to the Hamilton-Jacobi equation x 2 ðÀ1; 1Þ; t 2 ½0; 1Þ with Lipschitz initial condition, where Kðx; tÞ is allowed to be discontinuous in the ðx; tÞ plane along a finite number of (possibly intersecting) curves parameterized by t: We assume that for fixed k;
Hölder estimates in space-time for viscosity solutions of hamilton-jacobi equations
✍ Scribed by Piermarco Cannarsa; Pierre Cardaliaguet
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 300 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0010-3640
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