Geodesic
Dynamics of complex singularities in 1D nonlinear parabolic PDE's
Zoran Grujić1
1 Department of Mathematics University of Texas Austin, TX 78712, U.S.A. and Department of Mathematics University of Virginia Charlottesville, VA 22904, U.S.A.
Studia Mathematica, Tome 147 (2001) no. 2, pp. 183-195

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm147-2-6
Keywords: establish local in time smoothing simple model nonlinear parabolic pde scale weighted bergman spaces strip provided weights too singular constitutes strong smoothing property since immediate consequence pde push away algebraic type complex singularity provided order singularity small enough

Zoran Grujić 1

1 Department of Mathematics University of Texas Austin, TX 78712, U.S.A. and Department of Mathematics University of Virginia Charlottesville, VA 22904, U.S.A. 
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Zoran Grujić. Dynamics of complex singularities in
1D nonlinear parabolic PDE's. Studia Mathematica, Tome 147 (2001) no. 2, pp. 183-195. doi: 10.4064/sm147-2-6

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