A symbolic algorithm for the approximate solution of an inverse problem for liner kinetic equation.
A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols.
A symmetrization result for elliptic equations with lower-order terms
A symmetrization result for nonlinear elliptic equations.
We consider a solution u of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = g(x,u) + f, where the principal term is a Leray-Lions operator defined on W01,p (Ω). The function g(x,u) satisfies suitable growth assumptions, but no sign hypothesis on it is assumed. We prove that the rearrangement of u can be estimated by the solution of a problem whose data are radially symmetric.
A symmetry problem
Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.
A symmetry result for a fourth order overdetermined boundary value problem.
A system of impulsive degenerate nonlinear parabolic functional- differential inequalities.
A system of nonlinear degenerate parabolic equations.
A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells.
A Systematic Approach for Correcting Nonlinear Instabilities. The Lax-Wendroff Scheme for Scalar Conservation Laws.
A tauberian theorem in quantum mechanical inverse scattering theory
A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
A temperature control problem.
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
In this paper, we propose a method for the approximation of the solution of high-dimensional weakly coercive problems formulated in tensor spaces using low-rank approximation formats. The method can be seen as a perturbation of a minimal residual method with a measure of the residual corresponding to the error in a specified solution norm. The residual norm can be designed such that the resulting low-rank approximations are optimal with respect to particular norms of interest, thus allowing to take...
A THeorem of Global Existence of Solutions to Nonlinear Wave Equations in Four Space Dimensions.
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A Theorem on Elliptic Differential Inequalities with an Application to Gradient Bounds.
A theorem on "localized" self-adjointness of Schrödinger operators with potentials.
A theory on perturbations of the Dirac operator.
A thermodynamic approach to nonisothermal phase-field models
The goal of this paper is to work out a thermodynamical setting for nonisothermal phase-field models with conserved and nonconserved order parameters in thermoelastic materials. Our approach consists in exploiting the second law of thermodynamics in the form of the entropy principle according to I. Müller and I. S. Liu, which leads to the evaluation of the entropy inequality with multipliers. As the main result we obtain a general scheme of phase-field models which involves an...