Geodesic

Volume 20 (1984) no. 1

Sommaire

Localization of spectral expansions corresponding to elliptic operators with constant coefficients
p. 3-7
A mixed problem for a higher-order equation that degenerates on the boundary of the domain
p. 7-14
Some model problems connected with problems on oscillations of a viscous fluid in an elastic vessel
p. 14-19
Stabilization of the solution of the Cauchy problem for parabolic equations
p. 20-41
Estimates of anti-a priori type that are sharp with respect to order for eigen- and associated functions of the heat conduction operator
p. 41-45
Riesz summability of continuous functions in Nikol'ski{\v\i} classes
p. 46-56
The spectrum of a mixed problem for an equation of mixed type
p. 56-60
Convergence of spectral expansions of functions of the class $H_p^\alpha$, corresponding to nonnegative selfadjoint extensions of the Sturm--Liouville operator
p. 61-68
Numerical solution of one-dimensional singular integral equations
p. 68-73
Approximation of the classical solution of the Darboux problem by smooth solutions
p. 73-87
Dynamic problems of thermoelasticity for anisotropic homogeneous media
p. 87-98
Inverse Cauchy problem for linear hyperbolic systems
p. 98-104
Boundary value problems for hyperbolic-parabolic equations
p. 104-115
Some boundary value problems for an analogue of the Euler--Poisson--Darboux equation
p. 115-124
Uniform convergence of spectral expansions of functions in $H^\alpha_{(p_1,p_2)}$
p. 124-128
Existence, uniqueness and approximate solution of a boundary value problem for an equation of mixed type
p. 128-132
General boundary value problem for a system of differential equations in a half plane with violation of Ya. B. Lopatinski{\v\i}'s condition
p. 132-141
A boundary value problem for the Holmgren equation in an unbounded domain
p. 142-147
Smoothness of the solution of the Cauchy problem for a $2p$-parabolic equation
p. 147-154
Some boundary value problems with an unknown boundary for mixed parabolic-hyperbolic equations of second and third orders
p. 154-161
Multidimensional strongly connected elliptic systems of partial differential equations
p. 162-167
Properties of solutions of partial differential equations that decompose into factors with singularities
p. 168-171
Spectral analysis of a class of nonselfadjoint operators
p. 171-172
Boundary value problems for an eight-dimensional analogue of the Cauchy--Riemann system
p. 172-174
Completeness of the root functions in some eigenvalue problems for fourth-order equations of mixed type
p. 174-176
The Cauchy problem for a fourth-order degenerate quasilinear hyperbolic equation
p. 177-179