Die klassisch-reguläre Lösbarkeit des Rand-Anfangswertproblems nichtlinearer Wellengleichungen mit einer Randbedingung vom gemischten Typ.
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Differentiability and growth of solutions of partial differential equations.
Michael Langenbruch (1982)
Manuscripta mathematica
Differentiability and partial Hölder continuity of the solutions of non-linear elliptic systems of order with quadratic growth
S. Campanato, P. Cannarsa (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
Mikhail Borsuk (1998)
Annales Polonici Mathematici
We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.
Dini-Campanato spaces and applications to nonlinear elliptic equations.
Kovats, Jay (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Dirichlet problem for quasi-linear elliptic equations.
Baalal, Azeddine, Rhouma, Nedra BelHaj (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Dynamics of complex singularities in 1D nonlinear parabolic PDE's
Zoran Grujić (2001)
Studia Mathematica
We establish local-in-time smoothing of a simple model nonlinear parabolic PDE in a scale of weighted Bergman spaces on a strip provided the weights are not too singular. This constitutes a very strong smoothing property since an immediate consequence is that the PDE can "push away" an algebraic-type complex singularity provided that the order of the singularity is small enough.
Currently displaying 1 – 7 of 7
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