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September/October 2010 Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients
Mihaela Ignatova, Igor Kukavica
Adv. Differential Equations 15(9/10): 953-975 (September/October 2010).

Abstract

In this paper, we provide a quantitative estimate of unique continuation (doubling property) for higher-order parabolic partial differential equations with non-analytic Gevrey coefficients. Also, a new upper bound is given on the number of zeros for the solutions with a polynomial dependence on the coefficients.

Citation

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Mihaela Ignatova. Igor Kukavica. "Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients." Adv. Differential Equations 15 (9/10) 953 - 975, September/October 2010.

Information

Published: September/October 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1211.35061
MathSciNet: MR2677425

Subjects:
Primary: 35B05, 35B60, 35K25, 35K55

Rights: Copyright © 2010 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.15 • No. 9/10 • September/October 2010
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