Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
By Vladimir A. Kozlov, Vladimir G. Maz'ya, J. Rossmann. 2000
510 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/67776d3c1d099003e954a7862305b4668950224c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Victor Nistor
- A. Mazzucato
- Hengguang Li
- M. Mitrea
- Ludmil T. Zikatanov
- Constantin Bacuta
- Vladimir G. Maz'ya
- Giuseppe Mingione
In Computational Theory and Mathematics
- Victor Nistor
- A. Mazzucato
- Hengguang Li
- M. Mitrea
- Vladimir G. Maz'ya
- Ludmil T. Zikatanov
- Boris Vexler
- Olaf Post
In Numerical Analysis
- Victor Nistor
- A. Mazzucato
- Hengguang Li
- M. Mitrea
- Vladimir G. Maz'ya
- Boris Vexler
- Axel Kröner
- B. Ayuso
Citations in the corpus
- A priori error estimates for elliptic optimal control problems with a bilinear state equation (2009, background): “For d = 3 the domain Ω additionally has to satisfy a certain angle condition, then there exists a constant p Ω > 3, such that for all 3 p p Ω Assumption 2.13 is fulfilled, see [18].”
- ANALYSIS OF THE FINITE ELEMENT METHOD FOR TRANSMISSION/MIXED BOUNDARY VALUE PROBLEMS ON GENERAL POLYGONAL DOMAINS ∗ (2010, background): “function expansion of u close to each vertex implies u ∈ H→ b for all → b = (bQ) with 0 < bQ < ηQ [44, 63], where ηQ is the exponent s of the first singular function rφ(θ), in polar coordinates centered at Q.”
- Interface and mixed boundary value problems on $n$-dimensional polyhedral domains (2010, background): “A complete definition of a curvilinear polyhedral domain is given in Section 2.”