Well-posedness for a nonlinear shallow spherical shell

DOI10.1016/S0362-546X(97)00688-3zbMath0962.35117OpenAlexW2028705394WikidataQ101425921 ScholiaQ101425921MaRDI QIDQ4259680

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Publication date: 31 May 2001

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00688-3

zbMATH Keywords

Sobolev spacelinearizationFréchet derivativesecond-order abstract Cauchy problemglobal unique mild solutionsystem of two nonlinear second-order partial differential equations

Mathematics Subject Classification ID

Cites Work

• Numerical analysis for eversion in elastic spherical caps equilibrium
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global decay rates for the solutions to a von Kármán plate without geometric conditions
• Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
• Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
• Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions
• Uniform stabilization of spherical shells by boundary dissipation
• Uniform boundary stabilization of a nonlinear shallow and thin elastic spherical cap
• Equilibrium of an Elastic Spherical Cap Pulled at the Rim
• Axisymmetric buckling of hollow spheres and hemispheres
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