A direct approach to the Weiss conjecture for bounded analytic semigroups
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded -calculus and is based on elementary analysis.
A direct boundary integral method for a mobility problem.
A direct global superconvergence analysis for Sobolev and viscoelasticity type equations
In this paper we study the finite element approximations to the Sobolev and viscoelasticity type equations and present a direct analysis for global superconvergence for these problems, without using Ritz projection or its modified forms.
A direct method approach for the existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature.
A direct method for boundary integral equations on a contour with a peak.
A direct proof of the Caffarelli-Kohn-Nirenberg theorem
In the present paper we give a new proof of the Caffarelli-Kohn-Nirenberg theorem based on a direct approach. Given a pair (u,p) of suitable weak solutions to the Navier-Stokes equations in ℝ³ × ]0,∞[ the velocity field u satisfies the following property of partial regularity: The velocity u is Lipschitz continuous in a neighbourhood of a point (x₀,t₀) ∈ Ω × ]0,∞ [ if for a sufficiently small .
A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.
A directional compactification of the complex Bloch variety.
A directional compactification of the complex Fermi surface and isospectrality
A Dirichlet problem for an H-system with variable H.
A Dirichlet problem in the strip.
A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
A discontinuous problem involving the -Laplacian operator and critical exponent in .
A discontinuous problem with quasilinear operator.
A discrete Hardy-Laptev-Weidl-type inequality and associated Schrödinger-type operators.
A discrete maximum principle [Book]
A discrete phenomenon in propagation of singularities
A Discrete Sampling Inversion Scheme for the Heat Equation.
A discrete variational approach for investigation of stationary localized states in a discrete nonlinear Schrödinger equation, named IN-DNLS.
A discreteness criterion for the spectrum of the Laplace--Beltrami operator on quasimodel manifolds.