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10 papers · 1 filter
A linearised inverse conductivity problem for the Maxwell system at a high frequency
Victor Isakov, Shuai Lu, Boxi Xu
We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high time-harmonic frequency. Increasing stability bounds…
Uniqueness and increasing stability in electromagnetic inverse source problems
Victor Isakov, Jenn-Nan Wang
In this paper we study the uniqueness and the increasing stability in the inverse source problem for electromagnetic waves in homogeneous and inhomogeneous media from boundary data…
On increasing stability in the two dimensional inverse source scattering problem with many frequencies
Mozhgan Nora Entekhabi, Victor Isakov
In this paper, we will study increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in…
A Generalization of "Existence and Behavior of the Radial Limits of a Bounded Capillary Surface at a Corner"
Julie N. Crenshaw, Alexandra K. Echart, Kirk E. Lancaster
The principle existence theorem (i.e. Theorem 1) of "Existence and Behavior of the Radial Limits of a Bounded Capillary Surface at a Corner" (Pacific J. Math. Vol. 176, No. 1 (1996…
On Cusp Solutions to a Prescribed Mean Curvature Equation
Alexandra K. Echart, Kirk E. Lancaster
The nonexistence of "cusp solutions" of prescribed mean curvature boundary value problems in when is a domain in is proven in certain cases and a…
Radial Limits of Capillary Surfaces at Corners
Mozhgan, Entekhabi, Kirk Lancaster
Consider a solution of a prescribed mean curvature equation \[ {\rm div}\left(\frac{\nabla f}{\sqrt{1+|\nabla f|^{2}}}\right)=2H(x,f) \ \ \ \ {\rm in} \ \ Ω\subset…