AbstractIn this work a uniqueness result for Backus′ problem for the exterior magnetic or gravitational field of the earth is given. Once this condition is established, an explicit series solution for the magnetic problem is computed and the convergance proved
AbstractFor the problem (here u=u(x)) Δu−up+αuq+βur=0,x∈Rn,lim|x|→∞u(x)=0, with constants 1≤p<q<r<n+...
While there exist now formulations of initial boundary value problems for Einstein's field equations...
A proof is given of the following statement: if $\vec{B}$ is a smooth force-free magnetic field cont...
AbstractIn this work a uniqueness result for Backus′ problem for the exterior magnetic or gravitatio...
International audienceRecovering the internal geomagnetic vector field B on and outside the Earth's ...
First comes a description of a mathematical model of the geomagnetic field. Then some discussion of ...
International audienceWe show that a knowledge of either the signed or the unsigned direction of a p...
For the problem (here ) with constants , and , uniqueness of radial solution (calledground state s...
The (simplified) Backus ’ Problem (BP) consists in finding a harmonic function u on the domain exter...
We again consider the problem of recovering the Earth’s internal magnetic ¢eld B knowing its intensi...
AbstractIn this paper we study the equations for the flow and the magnetic field within the earth. T...
We show the existence and uniqueness of a viscosity solution for an oblique nonlinear problem sugges...
Let Ω denote the domain exterior to the unit sphere S. The (simplified) Backus problem consists in f...
International audienceWe again consider the problem of recovering the Earth's internal magnetic fiel...
The authors establish new sufficient conditions for the unique solvability of the first initial-boun...
AbstractFor the problem (here u=u(x)) Δu−up+αuq+βur=0,x∈Rn,lim|x|→∞u(x)=0, with constants 1≤p<q<r<n+...
While there exist now formulations of initial boundary value problems for Einstein's field equations...
A proof is given of the following statement: if $\vec{B}$ is a smooth force-free magnetic field cont...
AbstractIn this work a uniqueness result for Backus′ problem for the exterior magnetic or gravitatio...
International audienceRecovering the internal geomagnetic vector field B on and outside the Earth's ...
First comes a description of a mathematical model of the geomagnetic field. Then some discussion of ...
International audienceWe show that a knowledge of either the signed or the unsigned direction of a p...
For the problem (here ) with constants , and , uniqueness of radial solution (calledground state s...
The (simplified) Backus ’ Problem (BP) consists in finding a harmonic function u on the domain exter...
We again consider the problem of recovering the Earth’s internal magnetic ¢eld B knowing its intensi...
AbstractIn this paper we study the equations for the flow and the magnetic field within the earth. T...
We show the existence and uniqueness of a viscosity solution for an oblique nonlinear problem sugges...
Let Ω denote the domain exterior to the unit sphere S. The (simplified) Backus problem consists in f...
International audienceWe again consider the problem of recovering the Earth's internal magnetic fiel...
The authors establish new sufficient conditions for the unique solvability of the first initial-boun...
AbstractFor the problem (here u=u(x)) Δu−up+αuq+βur=0,x∈Rn,lim|x|→∞u(x)=0, with constants 1≤p<q<r<n+...
While there exist now formulations of initial boundary value problems for Einstein's field equations...
A proof is given of the following statement: if $\vec{B}$ is a smooth force-free magnetic field cont...
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