Finite element approximation of the Hardy constant
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Publication:6489762
Francesco Della Pietra, Gloria Paoli, Enrique Zuazua, Giovanni Fantuzzi, Alba Lia Masiello, Liviu I. Ignat
Publication date: 22 April 2024
Published in: Journal of Convex Analysis (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
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- Finite element approximation of the Sobolev constant
- The Hardy inequality and the heat equation in twisted tubes
- The sharp quantitative Sobolev inequality for functions of bounded variation
- A logarithmic Hardy inequality
- Hardy inequalities and some critical elliptic and parabolic problems
- Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
- An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain
- The uncertainty principle
- Guaranteed lower bounds for eigenvalues
- Upper and lower bounds for eigenvalues by finite difference methods
- Compact embeddings of broken Sobolev spaces and applications
- Hardy inequalities with optimal constants and remainder terms
- Anisotropic Hardy inequalities
- Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator
- Weighted Inequalities of Hardy Type
- Elliptic and Parabolic Equations Involving the Hardy-Leray Potential
- The Prehistory of the Hardy Inequality
- Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization
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