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The general optimal <f>Lp</f>-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations
- Source :
-
Journal of Functional Analysis . Aug2003, Vol. 202 Issue 2, p591. 9p. - Publication Year :
- 2003
-
Abstract
- We prove a general optimal <f>Lp</f>-Euclidean logarithmic Sobolev inequality by using Pre´kopa–Leindler inequality and a special Hamilton–Jacobi equation. In particular we generalize the inequality proved by Del Pino and Dolbeault in (J. Funt. Anal.). [Copyright &y& Elsevier]
- Subjects :
- *EUCLIDEAN algorithm
*HAMILTON-Jacobi equations
Subjects
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 202
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 10159073
- Full Text :
- https://doi.org/10.1016/S0022-1236(03)00047-8