Regularity results for degenerate elliptic systems
Regularity results for non-linear elliptic systems in two dimensions
Regularity results for parabolic systems related to a class of non-newtonian fluids
Regularity results for semilinear and geometric wave equations
Regularity results for some classes of higher order non linear elliptic systems.
Regularity results for vector fields of bounded distortion and applications.
Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions [Book]
Regularity up to the boundary of solutions of the Dirichlet problem for certain degenerate elliptic equations.
Regularization of a unilateral obstacle problem on the boundary.
Regularizing effects for multidimensional scalar conservation laws
Regularizing estimates for Schrödinger and wave equations
Relative rearrangement on a finite measure space. Application to weighted spaces and to P.D.E.
Relative rearrangement on a finite measure space. Application to the regularity of weighted monotone rearrangement (Part I)
Relaxation approximations and bounded variation estimates for some partial differential equations.
Relaxation for Dirichlet problems involving a Dirichlet form.
Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors
This paper is concerned with the global well-posedness and relaxation-time limits for the solutions in the full quantum hydrodynamic model, which can be used to analyze the thermal and quantum influences on the transport of carriers in semiconductor devices. For the Cauchy problem in , we prove the global existence, uniqueness and exponential decay estimate of smooth solutions, when the initial data are small perturbations of an equilibrium state. Moreover, we show that the solutions converge into...
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...
Remark on a uniqueness result for a boundary value problem of eighth-order.
Remark on periodic solutions of a linear wave equation in one dimension
Remark on some conformally invariant integral equations: the method of moving spheres