Strong unique continuation for the Navier-Stokes equation with non-analytic forcing

DOI10.1007/s10884-012-9282-1zbMath1307.35195OpenAlexW2107522884WikidataQ115383554 ScholiaQ115383554MaRDI QIDQ1949245

Mihaela Ignatova, Igor Kukavica

Publication date: 6 May 2013

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9282-1

zbMATH Keywords

Navier-Stokes equationGevrey classCarleman estimatesstrong unique continuation

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions, Quantification of the unique continuation property for the nonstationary Stokes problem, On unique continuation for Navier-Stokes equations, Data Assimilation for the Navier--Stokes Equations Using Local Observables

Cites Work

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• Nodal sets for solutions of elliptic equations
• Generic Morse-Smale property for the parabolic equation on the circle
• Strong unique continuation for higher order elliptic equations with Gevrey coefficients
• Carleman type estimates in an anisotropic case and applications
• Strong uniqueness for second order elliptic operators with Gevrey coefficients
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Unique continuation for some evolution equations
• Nodal sets of eigenfunctions on Riemannian manifolds
• Dirichlet quotients and 2D periodic Navier-Stokes equations
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• Backward uniqueness for parabolic equations
• Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem
• Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients
• Navier-Stokes equations and area of interfaces
• Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing
• Nodal sets of solutions of elliptic and parabolic equations
• Strong unique continuation for products of elliptic operators of second order
• Log-log convexity and backward uniqueness
• Self-similar variables and the complex ginzburg-landau equation
• Singular Sets of Higher Order Elliptic Equations
• Length of Vorticity Nodal Sets for Solutions of the 2D Navier–Stokes Equations
• Spatial complexity of solutions of higher order partial differential equations
• Prolongement Unique Des Solutions
• Doubling properties of caloric functions
• Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle
• Schauder estimates for elliptic operators with applications to nodal sets.