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2000
Here we consider again the equation $$\left( {A{u_ + }} \right)\left( x \right) = f\left( x \right),x \in C_ + ^a$$ (11.1) , to show how one can use Theorem 8.1.3 and what kind of boundary value problems correspond to this case. We assume \(\wp - s = - 1 + \delta ,\left| \delta \right| < 1/2\), ae is index of wave factorization of symbol \(A ...
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Here we consider again the equation $$\left( {A{u_ + }} \right)\left( x \right) = f\left( x \right),x \in C_ + ^a$$ (11.1) , to show how one can use Theorem 8.1.3 and what kind of boundary value problems correspond to this case. We assume \(\wp - s = - 1 + \delta ,\left| \delta \right| < 1/2\), ae is index of wave factorization of symbol \(A ...
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On an Inverse Problem for the Newtonian Potential
1988In a joint work with C. Maderna and C. Pagani,1 we have considered the following classical inverse problem of potential theory: to determine the figure of a Homogeneous material body G whose shape is unknown, from measurements of the Newtonian potential created by G, taken on the surface of a sphere containing G in its interior.
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A Note on a Problem in Potential Theory
Journal of Applied Physics, 1937Two methods are given for treating a new type of potential problem arising in a recent study of the author on the encroachment of water into an oil sand. The problem is that of finding the potential distributions in two regions of different ``constants'' (``conductivities''), separated by a moveable surface of unknown shape, this motion and shape to be
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