A Priori Estimates for Continuation Problems for Elliptic and Principally Normal Differential Equations

DOI10.2307/1995308zbMath0176.40802OpenAlexW4234019752MaRDI QIDQ5568669

Paul E. Saylor

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995308

zbMATH Keywords

partial differential equations

Cites Work

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• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Three circle theorems in partial differential equations and applications to improperly posed problems
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• Unique Continuation for Elliptic Equations
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• The three-sphere theorem for a class of elliptic equations of high order and a refinement of this theorem for a linear elliptic equation of second order
• Uniqueness in Cauchy problems for elliptic systems of equations
• On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point