Strong unique continuation for general elliptic equations in 2D

By Giovanni Alessandrini. 2010

54 citations recorded by the source corpus.

Abstract We prove that solutions to elliptic equations in two variables in divergence form, possibly non-self-adjoint and with lower order terms, satisfy the strong unique continuation property.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c5cf28edae7fb72715884bce551082ef3159e8df

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In Computational Mechanics

1. Valter Pohjola
2. Bastian von Harrach
3. Mikko Salo

In Computational Theory and Mathematics

1. Valter Pohjola
2. Bastian von Harrach
3. Mikko Salo
4. Gunther Uhlmann

In Mathematical Physics

1. Bastian von Harrach
2. Valter Pohjola
3. Mikko Salo
4. Gunther Uhlmann
5. Jesse Railo
6. Keijo Monkkonen
7. Giovanni Covi
8. Katya Krupchyk

Citations in the corpus

• Monotonicity and local uniqueness for the Helmholtz equation (2017, methodology): “As in [Alessandrini 2012], f ∈ H 1(Ur ) solves an equation of the form ∂z̄ f = µ∂z f + ν∂̄z f in Ur , where ‖µ‖L∞(Ur )+‖ν‖L∞(Ur ) 1.”