Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side
Silvestre, Luis; Cardaliaguet, Pierre (2012), Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side, Communications in Partial Differential Equations, 37, 9, p. 1668-1688. http://dx.doi.org/10.1080/03605302.2012.660267
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00633218/fr/Date
2012Journal name
Communications in Partial Differential EquationsVolume
37Number
9Publisher
Springer
Pages
1668-1688
Publication identifier
Metadata
Show full item recordAbstract (EN)
We show that solutions of time-dependent degenerate parabolic equations with super-quadratic growth in the gradient variable and possibly unbounded right-hand side are locally ${\mathcal C}^{0,\alpha}$. Unlike the existing (and more involved) proofs for equations with bounded right-hand side, our arguments rely on constructions of sub- and supersolutions combined with improvement of oscillation techniques.Subjects / Keywords
superquadratic growth; Hölder continuity; Hamilton-Jacobi equationsRelated items
Showing items related by title and author.
-
Cardaliaguet, Pierre; Rainer, Catherine (2011) Article accepté pour publication ou publié
-
Cardaliaguet, Pierre (2009) Article accepté pour publication ou publié
-
Cardaliaguet, Pierre; Seeger, Benjamin (2021) Article accepté pour publication ou publié
-
Cannarsa, Piermarco; Cardaliaguet, Pierre (2010) Article accepté pour publication ou publié
-
Crandall, Michael G.; Lions, Pierre-Louis (1990) Article accepté pour publication ou publié