Advances in Differential Equations
- Adv. Differential Equations
- Volume 15, Number 9/10 (2010), 953-975.
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients
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.
Adv. Differential Equations Volume 15, Number 9/10 (2010), 953-975.
First available in Project Euclid: 18 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B60: Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx] 35K25: Higher-order parabolic equations 35K55: Nonlinear parabolic equations
Ignatova, Mihaela; Kukavica, Igor. Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Adv. Differential Equations 15 (2010), no. 9/10, 953--975. https://projecteuclid.org/euclid.ade/1355854617.