Smooth singular solutions of hyperplane fields. II
A. S. De Medeiros (1992)
Annales scientifiques de l'École Normale Supérieure
Alain Bensoussan, Jens Frehse (2002)
ESAIM: Control, Optimisation and Calculus of Variations
We consider in this article diagonal parabolic systems arising in the context of stochastic differential games. We address the issue of finding smooth solutions of the system. Such a regularity result is extremely important to derive an optimal feedback proving the existence of a Nash point of a certain class of stochastic differential games. Unlike in the case of scalar equation, smoothness of solutions is not achieved in general. A special structure of the nonlinear hamiltonian seems to be the...
Alain Bensoussan, Jens Frehse (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider in this article diagonal parabolic systems arising in the context of stochastic differential games. We address the issue of finding smooth solutions of the system. Such a regularity result is extremely important to derive an optimal feedback proving the existence of a Nash point of a certain class of stochastic differential games. Unlike in the case of scalar equation, smoothness of solutions is not achieved in general. A special structure of the nonlinear Hamiltonian seems to be...
Stephen Smale (1980)
Commentarii mathematici Helvetici
G. Rein, A. D. Rendall (1993)
Annales de l'I.H.P. Physique théorique
Oscar E. Lanford III (1980/1981)
Séminaire Bourbaki
Petr Vaněk (2012)
Applications of Mathematics
We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.
Marián Slodička (1991)
Commentationes Mathematicae Universitatis Carolinae
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space for when the initial condition is not regular.
Marián Slodička (1989)
Commentationes Mathematicae Universitatis Carolinae
Jozef Kačur (1986)
Czechoslovak Mathematical Journal
L. Aloui (2008)
Collectanea Mathematica
Shin-ichi Doi (1996/1997)
Séminaire Équations aux dérivées partielles
Nakao Hayashi (1992)
Annales de l'I.H.P. Physique théorique
Walter A. Strauss (1993)
Journées équations aux dérivées partielles
Thomas Kappeler (1992)
Journées équations aux dérivées partielles
Yan, Yubin (2005)
International Journal of Mathematics and Mathematical Sciences
Dale Clarke Hernquist (1987)
Mathematica Scandinavica
Lawrence. Corwin, B. Helffer (1985)
Inventiones mathematicae
L. A. Caffarelli, N. M. Rivière (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Jaime E. Muñoz Rivera (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques