Relèvement polynômial de traces et applications
Reliable numerical modelling of malaria propagation
We investigate biological processes, particularly the propagation of malaria. Both the continuous and the numerical models on some fixed mesh should preserve the basic qualitative properties of the original phenomenon. Our main goal is to give the conditions for the discrete (numerical) models of the malaria phenomena under which they possess some given qualitative property, namely, to be between zero and one. The conditions which guarantee this requirement are related to the time-discretization...
Reliable solution of parabolic obstacle problems with respect to uncertain data
A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier obstacle type...
Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
Maximization problems are formulated for a class of quasistatic problems in the deformation theory of plasticity with respect to an uncertainty in the material function. Approximate problems are introduced on the basis of cubic Hermite splines and finite elements. The solvability of both continuous and approximate problems is proved and some convergence analysis presented.
Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems.
Remark on a partial differential inequality of the first order
Remark on a uniqueness result for a boundary value problem of eighth-order.
Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension
Remark on Essential Selfadjointness of Dirac Operators with Coulomb Potentials.
Remark on involutive subspaces and regular bases
Remark on periodic solutions of a linear wave equation in one dimension
Remark on regularity of weak solutions to the Navier-Stokes equations.
Remark on regularity of weak solutions to the Navier-Stokes equations
Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space are regular.
Remark on some conformally invariant integral equations: the method of moving spheres
Remark on the null-condition for the nonlinear wave equation
Dimostriamo l'esistenza della soluzione globale per un sistema di equazioni delle onde con nonlinearità quadratica dipendente dalle variabili spazio-tempo. Come in [3] la tecnica è basata sulla trasformazione di Penrose.
Remark on the result on homogenization in hydrodynamical lubrication by G. Bayada and M. Chambat
Remark on the spatial regularity for the Navier-Stokes equations.
Remark on the structure of the range of second order nonlinear elliptic operator
Remark on well-posedness and ill-posedness for the KdV equation.
Remark to dynamic contact problems for bodies with a singular memory
The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].