Dr Claudia Garetto
Professor of Mathematics
Science and Engineering EDI Lead
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Publications
Publications of specific relevance to academic inclusion in science and engineering2025
Arias A, Ascanelli A, Cappiello M and Garetto C (2025). Schrödinger type equations with singular coefficients and lower order terms. Elsevier Journal of Differential Equations vol. 425, 190-222. 10.1016/j.jde.2025.01.013Garetto C and Sabitbek B (2025). C∞ Well-Posedness of Higher Order Hyperbolic Pseudo-Differential Equations with Multiplicities. Springer Nature Acta Applicandae Mathematicae vol. 196, (1) 10.1007/s10440-025-00717-x2024
Garetto C and Sabitbek B (2024). Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients. Springer Mathematische Annalen Garetto C (2024). On Hyperbolic Equations with Space-Dependent Coefficients: C∞ Well-Posedness and Levi Conditions. Women in Analysis and Pde Springer Nature 10.1007/978-3-031-57005-6_182023
Discacciati M, Garetto C and Loizou C (2023). On the Wave Equation with Space Dependent Coefficients: Singularities and Lower Order Terms. Springer Nature Acta Applicandae Mathematicae vol. 187, (1) 10-10. 10.1007/s10440-023-00601-62022
Discacciati M, Garetto C and Loizou C (2022). Inhomogeneous Wave Equation with T-Dependent Singular Coefficients. Journal of Differential Equations 10.1016/j.jde.2022.02.0392021
Garetto C (2021). On the wave equation with multiplicities and space-dependent irregular coefficients. American Mathematical Society (Ams) Transactions of The American Mathematical Society vol. 374, (5) 3131-3176. 10.1090/tran/83192020
Garetto C, Jäh C and Ruzhansky M (2020). Hyperbolic systems with non-diagonalisable principal part and variable
multiplicities, II: microlocal analysis. Elsevier Journal of Differential Equations 10.1016/j.jde.2020.05.0382018
Garetto C, Jäh C and Ruzhansky M (2018). Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness. Springer Nature Mathematische Annalen vol. 372, (3-4) 1597-1629. 10.1007/s00208-018-1672-12017
Garetto C and Ruzhansky M (2017). On C∞ well-posedness of hyperbolic systems with multiplicities. Springer Nature Annali Di Matematica Pura Ed Applicata (1923 -) vol. 196, (5) 1819-1834. 10.1007/s10231-017-0639-22016
Garetto C and Jäh C (2016). Well-posedness of hyperbolic systems with multiplicities and smooth coefficients. Springer Nature Mathematische Annalen vol. 369, (1-2) 441-485. 10.1007/s00208-016-1436-8Garetto C and Ruzhansky M (2016). On hyperbolic systems with time-dependent Hölder characteristics. Annali Di Matematica Pura Ed Applicata vol. 196, (1) 155-164. 10.1007/s10231-016-0567-62015
Garetto C (2015). On hyperbolic equations and systems with non-regular time dependent coefficients. Elsevier Journal of Differential Equations vol. 259, (11) 5846-5874. 10.1016/j.jde.2015.07.011Garetto C and Ruzhansky M (2015). Wave equation for sums of squares on compact Lie groups. Elsevier Journal of Differential Equations vol. 258, (12) 4324-4347. 10.1016/j.jde.2015.01.0342014
Garetto C and Ruzhansky M (2014). Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients. Springer Nature Archive For Rational Mechanics and Analysis vol. 217, (1) 113-154. 10.1007/s00205-014-0830-1Garetto C and Oberguggenberger M (2014). Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Wiley Mathematische Nachrichten vol. 288, (2-3) 185-205. 10.1002/mana.201400192Garetto C and Ruzhansky M (2014). A note on weakly hyperbolic equations with analytic principal part. Elsevier Journal of Mathematical Analysis and Applications vol. 412, (1) 1-14. 10.1016/j.jmaa.2013.09.0112013
Garetto C and Oberguggenberger M (2013). Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities. Cambridge University Press (Cup) Proceedings of The Edinburgh Mathematical Society vol. 57, (2) 426-463. 10.1017/s0013091513000424Garetto C and Ruzhansky M (2013). Weakly hyperbolic equations with non-analytic coefficients and lower order terms. Springer Nature Mathematische Annalen vol. 357, (2) 401-440. 10.1007/s00208-013-0910-92012
Garetto C and Ruzhansky M (2012). On the well-posedness of weakly hyperbolic equations with time-dependent coefficients. Elsevier Journal of Differential Equations vol. 253, (5) 1317-1340. 10.1016/j.jde.2012.05.0012011
Garetto C (2011). Lp and Sobolev boundedness of pseudodifferential operators with non-regular symbol: A regularisation approach. Elsevier Journal of Mathematical Analysis and Applications vol. 381, (1) 328-343. 10.1016/j.jmaa.2011.02.0562010
Garetto C and Vernaeve H (2010). Hilbert C ~ \widetilde {\mathbb {C}} -modules: Structural properties and applications to variational problems. American Mathematical Society (Ams) Transactions of The American Mathematical Society vol. 363, (4) 2047-2090. 10.1090/s0002-9947-2010-05143-82009
Garetto C (2009). Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type. Electronic Journal of Differential Equations vol. 2009, 1-43. Garetto C (2009). Closed graph and open mapping theorems for topological $ \tilde \lc $‐modules and applications. Wiley Mathematische Nachrichten vol. 282, (8) 1159-1188. 10.1002/mana.200610793Garetto C, Hörmann G and Oberguggenberger M (2009). Generalized oscillatory integrals and Fourier integral operators. Cambridge University Press (Cup) Proceedings of The Edinburgh Mathematical Society vol. 52, (2) 351-386. 10.1017/s00130915060009152008
Garetto C (2008). Fundamental Solutions in the Colombeau Framework: Applications to Solvability and Regularity Theory. Springer Nature Acta Applicandae Mathematicae vol. 102, (2-3) 281-318. 10.1007/s10440-008-9220-8Garetto C (2008). Generalized Fourier Integral Operators on Spaces of Colombeau Type. New Developments in Pseudo-Differential Operators Springer Nature 10.1007/978-3-7643-8969-7_82006
Garetto C (2006). Microlocal analysis in the dual of a Colombeau algebra: Generalized wave front sets and noncharacteristic regularity. New York Journal of Mathematics vol. 12, 275-318. Garetto C and Hormann G (2006). On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets. National Library of Serbia Bulletin Classe Des Sciences Mathematiques Et Natturalles vol. 133, (31) 115-136. 10.2298/bmat0631115g2005
Garetto C (2005). Topological Structures in Colombeau Algebras: Investigation of the Duals of , and. Springer Nature Monatshefte FüR Mathematik vol. 146, (3) 203-226. 10.1007/s00605-005-0331-2Garetto C, Gramchev T and Oberguggenberger M (2005). Pseudodifferential operators with generalized symbols and regularity theory. Electronic Journal of Differential Equations vol. 2005, Garetto C and Hörmann G (2005). MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES. Cambridge University Press (Cup) Proceedings of The Edinburgh Mathematical Society vol. 48, (3) 603-629. 10.1017/s0013091504000148Garetto C (2005). Topological Structures in Colombeau Algebras: Topological -modules and Duality Theory. Springer Nature Acta Applicandae Mathematicae vol. 88, (1) 81-123. 10.1007/s10440-005-6700-y2004
Garetto C (2004). Pseudo-Differential Operators in Algebras of Generalized Functions and Global Hypoellipticity. Springer Nature Acta Applicandae Mathematicae vol. 80, (2) 123-174. 10.1023/b:acap.0000013814.89972.3cGrants
Grants of specific relevance to academic inclusion in science and engineering
Hyperbolic problems with discontinuous coefficients-GRANT TRANSFERClaudia Garetto and Michael Ruzhansky
£543,258 EPSRC Engineering and Physical Sciences Research Council
20-03-2022 - 19-09-2025
UK Network on Hyperbolic Equations and related topics - GRANT TRANSFERClaudia Garetto
£1,000 London Mathematical Society (LMS)
01-01-2022 - 30-09-2023