Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Cristóbal J. Meroño"'
Publikováno v:
Journal of Differential Equations. 306:101-151
Rotational smoothing is a phenomenon consisting in a gain of regularity by means of averaging over rotations. This phenomenon is present in operators that regularize only in certain directions, in contrast to operators regularizing in all directions.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::916b40847e8313fef106557ab6bc6cbc
https://doi.org/10.1016/j.jde.2021.10.018
https://doi.org/10.1016/j.jde.2021.10.018
Autor:
Cristóbal J. Meroño
Publikováno v:
Revista Matemática Iberoamericana. 37:1175-1205
We study the problem of recovering the singularities of a potential q from backscattering data. In particular, we prove two new different estimates for the double dispersion operator Q2 of backscattering, the first nonlinear term in the Born series.
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https://explore.openaire.eu/search/publication?articleId=doi_________::529839bfe338baa41415ac97436e0051
https://doi.org/10.4171/rmi/1223
https://doi.org/10.4171/rmi/1223
Publikováno v:
Journal of Functional Analysis. 283:109681
Uniqueness and reconstruction in the three-dimensional Calderón inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schrödinger operators $-Δ+q $. We study the Born approximation of $q$ in the ball, which a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaca5615305499ed5a17181aa1c017a0
https://doi.org/10.1016/j.jfa.2022.109681
https://doi.org/10.1016/j.jfa.2022.109681
Publikováno v:
Annales Henri Poincaré
We study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main result shows that the coefficients are uniquely determined by $2n$ measur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fed82645ca24dfab7cd99a5222c68df8
http://arxiv.org/abs/2009.13315
http://arxiv.org/abs/2009.13315
Autor:
Pedro Caro, Cristóbal J. Meroño
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian white noise. The authors sho
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20581521ea478b8eaf34395486eee6b1
http://arxiv.org/abs/1909.11394
http://arxiv.org/abs/1909.11394
Publikováno v:
Revista Matemática Complutense
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::e3aaa2d2380b5f69db7cb2362011d588
Autor:
Cristóbal J. Meroño
Publikováno v:
Biblos-e Archivo. Repositorio Institucional de la UAM
instname
instname
We prove that in dimension $n \ge 2$ the main singularities of a complex potential $q$ having a certain a priori regularity are contained in the Born approximation $q_\theta$ constructed from fixed angle scattering data. Moreover, ${q-q_\theta}$ can
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d40f45732879dacebb12f20c18b4468
http://hdl.handle.net/10486/687102
http://hdl.handle.net/10486/687102
Autor:
María de la Cruz Vilela, Cristóbal J. Meroño, Alberto Ruiz, Carlos Castro, Juan Antonio Barceló, Teresa Luque
We present a uniqueness result in dimensions 3 for the inverse fixed angle scattering problem associated to the Schrödinger operator - Δ + q {-\Delta+q} , where q is a small real-valued potential with compact support in the Sobolev space W β , 2 {
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58816fbe0c691c52cd1002f10e6eeb65
Autor:
Cristóbal J. Meroño
We prove that in dimension $n\ge 2$ the main singularities of a complex potential $q$ having a certain a priori regularity are contained in the Born approximation $q_{B}$ constructed from backscattering data. This is archived using a new explicit for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecc9cc4246240b820ec9f1feb01f2d7c
Publikováno v:
Revista Matemática Complutense. 33(2):619-641
It is well known that the resolvent of the free Schr\"odinger operator on weighted $L^2$ spaces has norm decaying like $\lambda^{-\frac{1}{2}}$ at energy $\lambda$. There are several works proving analogous high-frequency estimates for magnetic Schr\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3aaa2d2380b5f69db7cb2362011d588