Characteristic Cauchy problem for a hyperbolic equation
β Scribed by B. R. Vainberg; V. G. Maz'ya
- Publisher
- Springer US
- Year
- 1985
- Tongue
- English
- Weight
- 749 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The nonβcharacteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 β©½ __x__ β©½ 1, β β < __t__ < β, __u__(0,__t__) = Ο(__t__), __u__~__x__~(0, __t__) = Ο(__t__), β β < __t__ < β is regularizΓ¨d when approximate expressions for Ο and Ο are given
We prove a Carleman estimate for hyperbolic equations with variable principal parts and present applications to the unique continuation and an inverse problem. Our Carleman estimate covers cases which the existing Carleman estimates do not treat.