Geodesic

Volume 6 (1970) no. 1

Sommaire

On the theory of equations of mixed type
p. 3-6
A lower bound of the sum of the squares of the fundamental functions, and of the number of the fundamental values, for an arbitrary $FSF$ of Laplace's operator
p. 7-16
Certain models connected with Euler's equations
p. 17-26
Inverse problems of generalized magnetic potentials
p. 27-38
Exterior contact inverse problems of generalized magnetic potentials of variable densities
p. 39-49
Certain estimates of the solutions of nonlinear equations of mixed type
p. 50-55
The principle of limiting amplitude for the Cauchy-Poisson problem in a strip. I
p. 56-71
The Dirichlet problem for a certain class of elliptic systems of second order differential equations
p. 72-85
Normal solvability of the Dirichlet problem for a certain class of systems of elliptic type
p. 86-98
A boundary value problem for equations of mixed type with two intersecting curves of degeneracy
p. 99-108
A certain boundary value problem for vortical and potential flows of an ideal fluid in the axisymmetric case
p. 109-122
The critical points of the Green's function of Laplace's equation
p. 123-128
Conservation laws and a priori estimates for certain nonlinear parabolic equations
p. 129-136
The Cauchy problem for the nonlinear Schr\"odinger equation
p. 137-146
The Harnack inequality for generalized solutions of second order nonlinear $(k,\,0)$-elliptic equations
p. 147-156
Weak solutions of second order quasilinear elliptic systems
p. 157-163
The $L_p$ summability of eigenfunction series
p. 164-171
The summability of Fourier series in a fundamental function system of Laplace's operator, in an arbitrary $N$-dimensional domain ($N\ge4$), by the $T_s(\alpha\lambda_k)$ method
p. 172-189
A uniqueness condition of the Dirichlet problem for an equation of mixed type in a cylindrical domain
p. 190-191
Methods of stating well-posed problems for second order linear hyperbolic equations on the plane
p. 192-195
Certain problems of the type of the Cauchy problem for a certain degenerate equation
p. 196-199
A certain mixed problem for the Tricomi equation
p. 200-203
On the question of asymptotic stability of solutions of parabolic equations
p. 204-208
The smoothness of solutions of the first boundary value problem for a degenerate elliptic equation
p. 209-212