NDLI: A nonlinear bilaplacian equation with hinged boundary conditions and very weak solutions: analysis and numerical solution

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111

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A nonlinear bilaplacian equation with hinged boundary conditions and very weak solutions: analysis and numerical solution

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A nonlinear bilaplacian equation with hinged boundary conditions and very weak solutions: analysis and numerical solution

Content Provider	Springer Nature Link
Author	Arregui, Iñigo Díaz, Jesús Ildefonso Vázquez, Carlos
Copyright Year	2013
Abstract	We study linear and nonlinear bilaplacian problems with hinged boundary conditions and right hand side in $$L^{1}(\Omega :\delta )$$ , with $$\delta =\text{ dist }\,(x,\partial \Omega )$$ . More precisely, the existence and uniqueness of the very weak solution is obtained and some numerical techniques are proposed for its approximation.
Starting Page	867
Ending Page	879
Page Count	13
File Format	PDF
ISSN	15787303
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Volume Number	108
Issue Number	2
e-ISSN	15791505
Language	English
Publisher	Springer Milan
Publisher Date	2013-10-11
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Very weak solutions Distance to the boundary Nonlinear bilaplacian operator Hinged boundary conditions Numerical methods Finite elements Nonlinear higher-order systems Boundary value problems for nonlinear higher-order systems Global existence of solutions Numerical approximation of solutions Mathematics Applications of Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Algebra and Number Theory Analysis Computational Mathematics

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