Antieigenvectors of the generalized problem and an operator inequality complementary to Schwarz's inequality.
Paul, Kallol (2008)
Novi Sad Journal of Mathematics
Similarity:
Displaying similar documents to “Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators”
Antieigenvectors of the generalized problem and an operator inequality complementary to Schwarz's inequality.
Metastability in the shadow system for Gierer-Meinhardt's equations.
De Groen, Pieter, Karadzhov, Georgi (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
The optimization of eigenvalue problems involving the -Laplacian.
Pielichowski, Wacław (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
Khelifi, Abdessatar (2005)
Fractional Calculus and Applied Analysis
Similarity:
2000 Mathematics Subject Classification: 35J05, 35C15, 44P05 In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic...
A minimax formula for the principal eigenvalues of Dirichlet problems and its applications.
Godoy, Tomas, Gossez, Jean-Pierre, Paczka, Sofia R. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Spectral properties of non-self-adjoint operators
Johannes Sjöstrand (2009)
Journées Équations aux dérivées partielles
Similarity:
This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.
A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization
Chunmei Wang (2014)
Applications of Mathematics
Similarity:
In this paper, we consider mortar-type Crouzeix-Raviart element discretizations for second order elliptic problems with discontinuous coefficients. A preconditioner for the FETI-DP method is proposed. We prove that the condition number of the preconditioned operator is bounded by , where and are mesh sizes. Finally, numerical tests are presented to verify the theoretical results.
Positive solutions of nonlinear elliptic systems
Robert Dalmasso (1993)
Annales Polonici Mathematici
Similarity:
We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.