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- W3048837387 abstract "In this paper we prove uniqueness in the inverse boundary value problem for quasilinear elliptic equations whose linear part is the Laplacian and nonlinear part is the divergence of a function analytic in the gradient of the solution. The main novelty in terms of the result is that the coefficients of the nonlinearity are allowed to be anisotropic. As in previous works, the proof reduces to an integral identity involving the tensor product of the gradients of 3 or more harmonic functions. Employing a construction method using Gaussian quasi-modes, we obtain a convenient family of harmonic functions to plug into the integral identity and establish our result." @default.
- W3048837387 created "2020-08-18" @default.
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- W3048837387 date "2020-08-11" @default.
- W3048837387 modified "2023-09-27" @default.
- W3048837387 title "An inverse boundary value problem for certain anisotropic quasilinear elliptic equations" @default.
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