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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 10
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Original Articles

Removable isolated singularities for solutions of doubly nonlinear anisotropic parabolic equations

Yu.V. Namlyeyeva Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R.Luxemburg str. 74, 83114 Donetsk, UkraineCorrespondence[email protected]
,
A.E. Shishkov Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R.Luxemburg str. 74, 83114 Donetsk, Ukraine
&
I.I. Skrypnik Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R.Luxemburg str. 74, 83114 Donetsk, Ukraine
Pages 1559-1574 | Received 26 Jan 2010, Accepted 31 Mar 2010, Published online: 15 Sep 2010
 
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Abstract

A local behaviour of solutions is studied for a wide class of degenerate quasi-linear second-order parabolic equations with the model representative

We establish the pointwise condition for removable isolated singularity of solutions of such equations.

AMS Subject Classifications:

Acknowledgement

Yu.V. Namlyeyeva is supported by the Research Program of NASU No. 0106U000043.

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