User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Kato's Inequality Up To the Boundary

Primary tabs

Brezis, Haïm Ponce, Augusto [UCL]

We show that if Delta u is a finite measure in Omega then, under suitable assumptions on u near partial derivative Omega, Delta u(+) is also a finite measure in Omega. We also study properties of the normal derivatives partial derivative u/partial derivative n and partial derivative u(+)/partial derivative n on partial derivative Omega.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2008
Language Anglais
Journal information "Communications in Contemporary Mathematics" - Vol. 10, no. 6, p. 1217-1241 (2008)
Peer reviewed yes
Publisher World Scientific Publ Co Pte Ltd (Singapore)
issn 0219-1997
e-issn 1793-6683
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords Elliptic equations ; boundary value problems
Links
  1. Ambrosio L., Functions of Bounded Variation and Free Discontinuity Problems (2000)
  2. Ancona Alano, Inégalité de Kato et inégalité de Kato jusqu'au bord, 10.1016/j.crma.2008.07.027
  3. H. Brezis, M. Marcus and A. C. Ponce, Mathematical Aspects of Nonlinear Dispersive Equations, Annals of Mathematics Studies 163, eds. J. Bourgain, C. Kenig and S. Klainerman (Princeton University Press, Princeton, NJ, 2007) pp. 55–110.
  4. Brezis Haı̈m, Ponce Augusto C., Kato's inequality when Δu is a measure, 10.1016/j.crma.2003.12.032
  5. Evans L. C., Measure Theory and Fine Properties of Functions (1992)
  6. Gagliardo E., Rend. Sem. Mat. Univ. Padova, 27, 284
  7. Gilbarg David, Trudinger Neil S., Elliptic Partial Differential Equations of Second Order, ISBN:9783540411604, 10.1007/978-3-642-61798-0
  8. Hartman Philip, Stampacchia Guido, On some non-linear elliptic differential-functional equations, 10.1007/bf02392210
  9. Kato Tosis, Schrödinger operators with singular potentials, 10.1007/bf02760233
  10. Stampacchia G., Équations Elliptiques du Second Ordre à Coefficients Discontinus, (été, 1965), 16 (1966)
Bibliographic reference Brezis, Haïm ; Ponce, Augusto. Kato's Inequality Up To the Boundary. In: Communications in Contemporary Mathematics, Vol. 10, no. 6, p. 1217-1241 (2008)
Permanent URL http://hdl.handle.net/2078.1/35893