Geodesic

Function theory and differential equations

Sommaire

Preface
Wavelet approximation and Fourier widths of classes of periodic functions of several variables.~I
p. 8-30
Spaces of functions of fractional smoothness on an irregular domain
p. 31-51
Description of interpolation spaces for local Morrey-type spaces
p. 52-62
On a~grid-method solution of the Laplace equation in an infinite rectangular cylinder under periodic boundary conditions
p. 63-70
Weighted integrability of multiplicative Fourier transforms
p. 71-81
On higher order elliptic and parabolic inequalities with singularities on the boundary
p. 82-90
Optimal embeddings of generalized Bessel and Riesz potentials
p. 91-111
A Hardy-type inequality and its applications
p. 112-132
A terminal--boundary value problem that describes the process of damping the vibrations of a~rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times
p. 133-142
Sharp estimates for derivatives of functions in the Sobolev classes $\mathring W_2^r(-1,1)$
p. 143-149
On the second moduli of continuity
p. 150-152
On the representation of a~function as an absolutely convergent Fourier integral
p. 153-166
Multiple positive solutions of an elliptic equation with a~convex--concave nonlinearity containing a~sign-changing term
p. 167-180
On the reconstruction of convolution-type operators from inaccurate information
p. 181-192
On Riemann ``nondifferentiable'' function and Schr\"odinger equation
p. 193-203
Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
p. 204-214
Blow-up of sign-changing solutions to quasilinear parabolic equations
p. 215-224
Asymptotic formulas for solutions of nonlocal elliptic problems
p. 225-241
Sharpening of the estimates for relative widths of classes of differentiable functions
p. 242-253
Greedy approximation of characteristic functions
p. 254-264
Approximation by Bernstein polynomials at the discontinuity points of derivatives
p. 265-270
Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains
p. 271-289
On the basis property of root vectors of a~perturbed self-adjoint operator
p. 290-303