Ulam-Hyers stability of elliptic partial differential equations in Sobolev spaces

DOI10.1016/j.amc.2013.12.021zbMath1364.35086OpenAlexW2141553821MaRDI QIDQ530017

Szilárd András, Alpár Richárd Mészáros

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.021

zbMATH Keywords

weak solutionselliptic equationsUlam-Hyers stabilityPicard operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30)

Related Items

Hyers-Ulam stability of the Laplace operator, Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays, Fixed point theory and the Ulam stability, Unnamed Item, Unnamed Item, The necessary and sufficient conditions of Hyers-Ulam stability for a class of parabolic equation, Hyers-Ulam stability of linear functional differential equations, Hyers-Ulam stability of delay differential equations of first order

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Stability of the Linear Mapping in Banach Spaces
• On some classes of partial difference equations
• Stability of functional equations in several variables
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