CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF ELUPTIC BWNOARY VALUE PROBLEMS ON THE COEFFICIENTS, RIGHT HAND SIDES AND BOUNDARY CONDITIONS

DOI10.1080/16073606.1981.9631870zbMath0472.35041OpenAlexW2074189899MaRDI QIDQ3925266

Barbara Kok, F. D. Penning

Publication date: 1981

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1981.9631870

zbMATH Keywords

a priori estimatesstability theorysecond order elliptic boundary value problemsperturbations of the coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Existence of optimal controls via continuous dependence on parameters ⋮ Stability of nonlinear elliptic systems with distributed parameters and variable boundary data. ⋮ A STABILITY THEORY FOR INITIAL, BOUNDARY VAUIE PROBLEMS OF PARABOLIC TYPE ⋮ Nonlinear elliptic systems with variable boundary data

Cites Work

• Unnamed Item
• On the null-spaces of partially elliptic operators of a certain type
• The null spaces of elliptic partial differential operators in R\(^n\)
• Properties of bilinear forms on Hilbert spaces related to stability properties of certain partial differential operators
• Zur Koeffizientensteuerung bei elliptischen Systemen
• 1.—Perturbation Theory for Sobolev Spaces

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