Dynamics of complex singularities in 1D nonlinear parabolic PDE's

• Autorzy: Zoran Grujić
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30H05: Bounded analytic functions
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 147
• Numer: 2
• Strony: 183-195

Daty

wydano

2001

Twórcy

autor

Zoran Grujić

• Department of Mathematics, University of Texas, Austin, TX 78712, U.S.A.
• Department of Mathematics, University of Virginia, Charlottesville, VA 22904, U.S.A.

Identyfikatory

DOI

10.4064/sm147-2-6