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We consider a backscattering Born approximation for a perturbed biharmonic operator in three space dimensions. Previous results on this approach for biharmonic operator use the fact that the coefficients are… Click to show full abstract
We consider a backscattering Born approximation for a perturbed biharmonic operator in three space dimensions. Previous results on this approach for biharmonic operator use the fact that the coefficients are real-valued to obtain reconstruction of singularities in the coefficients. In this text we drop the assumption about real-valued coefficients and establish the recovery of singularities also for complex coefficients. The proof uses mapping properties of the Radon transform.
Keywords:
recovery singularities;
operator;
backscattering born;
born approximation;
biharmonic operator
Journal Title: Inverse Problems
Year Published: 2018
Link to full text (if available)
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Journal Title: Inverse Problems
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!