On the range of nonlinear operators with linear asymptotes which are not invertible
On the Range of the Fourier Transform Associated with the Spherical Mean Operator
We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.
On the range of the Fourier transform connected with Riemann-Liouville operator
We characterize the range of some spaces of functions by the Fourier transform associated with the Riemann-Liouville operator and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.
On the rate of convergence of a collocation projection of the KdV equation
Based on estimates for the KdV equation in analytic Gevrey classes, a spectral collocation approximation of the KdV equation is proved to converge exponentially fast.
On the rate of convergence of difference schemes for the heat transfer equation on the solutions from
On the Rate of Convergence of the Preconditioned Conjugate Gradient Method.
On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary.
On the real analyticity of the scattering operator for the Hartree equation
We study the real analyticity of the scattering operator for the Hartree equation . To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear...
On the rectifiability of domains with finite perimeter
On the regular solutions for some classes of Navier-Stokes equations
On the regularity and non-regularity of elliptic and parabolic systems
On the Regularity Conditions for the Navier-Stokes and Related Equations.
On the regularity for 2nd order nonlinear elliptic systems
On the regularity for solutions of the micropolar fluid equations
On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling
On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces.
On the regularity of boundary traces for the wave equation
On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces.
On the regularity of local minimizers of decomposable variational integrals on domains in
We consider local minimizers of variational integrals like or its degenerate variant with exponents which do not fall completely in the category studied in Bildhauer M., Fuchs M., Calc. Var. 16 (2003), 177–186. We prove interior - respectively -regularity of under the condition that . For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work Bildhauer M., Fuchs M., Ann. Acad. Sci. Fenn. Math. 31 (2006), 349–362.
On the Regularity of Minimal Surfaces with Free Boundaries in Riemannian Manifolds.