Stability properties in some classes of second order partial differential equations

DOI10.1007/s00025-013-0332-8zbMath1307.35096OpenAlexW2133882335MaRDI QIDQ480879

Eszter Gselmann

Publication date: 12 December 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0332-8

zbMATH Keywords

stabilitypartial differential equationelliptic equationsLaplace's equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

Hyers-Ulam stability of the Laplace operator ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximation property of the stationary Stokes equations with the periodic boundary condition ⋮ Hyers-Ulam stability of linear functional differential equations ⋮ Hyers-Ulam stability of delay differential equations of first order ⋮ An operator method for the stability of inhomogeneous wave equations

Cites Work

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• On some inequalities and stability results related to the exponential function
• Elliptic partial differential equations of second order
• On the stability of Laplace's equation
• On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• On the Existence of Green's Function
• On the Stability of the Linear Functional Equation

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