Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications


Publications for Claudia Garetto

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Journal Articles

Garetto, C (Accepted for publication) On the wave equation with multiplicities and space-dependent irregular coefficients.

Garetto, C and Oberguggenberger, M (Accepted for publication) Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients.

Garetto, C and Oberguggenberger, M (Accepted for publication) Generalised Fourier integral operator methods for hyperbolic equations with singularities.

Garetto, C, Jäh, C, Ruzhansky, M (2020) Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis, Journal of Differential Equations, 269(10), pp.7881-7905, ISSN: 0022-0396. DOI: 10.1016/j.jde.2020.05.038.

Garetto, C, Jah, C, Ruzhansky, M (2018) Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness, DOI: 10.1007/s00208-018-1672-1.

Garetto, C and Ruzhansky, M (2017) On C ∞ well-posedness of hyperbolic systems with multiplicities, DOI: 10.1007/s10231-017-0639-2.

Garetto, C and Jaeh, C (2016) Well-posedness of hyperbolic systems with multiplicities and smooth coefficients, DOI: 10.1007/s00208-016-1436-8.

Garetto, C and Ruzhansky, M (2015) Hyperbolic second order equations with non-regular time dependent coefficients, Archive for Rational Mechanics and Analysis, ISSN: 0003-9527. DOI: 10.1007/s00205-014-0830-1.

Garetto, C (2015) On hyperbolic equations and systems with non-regular time dependent coefficients, ISSN: 1090-2732. DOI: 10.1016/j.jde.2015.07.011.

Garetto, C and Ruzhansky, M (2015) On hyperbolic systems with time dependent Holder characteristics.

Garetto, C and Ruzhansky, M (2014) A note on weakly hyperbolic equations with analytic principal part, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 412(1), pp.1-14, ISSN: 0022-247X. DOI: 10.1016/j.jmaa.2013.09.011.

Garetto, C and Ruzhansky, M (2014) Wave equation for sums of squares on compact Lie groups, Journal of Differential Equations, ISSN: 0022-0396. DOI: 10.1016/j.jde.2015.01.034.

Garetto, C and Ruzhansky, M (2013) Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Mathematische Annalen, 357(2), pp.401-440, ISSN: 0025-5831. DOI: 10.1007/s00208-013-0910-9.

Garetto, C and Ruzhansky, M (2012) On the well-posedness of weakly hyperbolic equations with time-dependent coefficients, Journal of Differential Equations, 253(5), pp.1317-1340, ISSN: 0022-0396. DOI: 10.1016/j.jde.2012.05.001.

Garetto, C (2011) Lp and Sobolev boundedness of pseudodifferential operators with non-regular symbol: A regularisation approach, Journal of Mathematical Analysis and Applications, 381(1), pp.328-343, ISSN: 0022-247X. DOI: 10.1016/j.jmaa.2011.02.056.

Garetto, C and Vernaeve, H (2011) Hilbert ℂ̃-modules: structural properties and applications to variational problems, Transactions of the American Mathematical Society, 363(4), pp.2047-2090, ISSN: 0002-9947. DOI: 10.1090/S0002-9947-2010-05143-8.

Garetto, C (2010) G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients, Banach Center Publications, 88, pp.111-131, DOI: 10.4064/bc88.

Garetto, C (2009) Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type, Electronic Journal of Differential Equations, 2009, pp.1-43.

Garetto, C, Oberguggenberger, M, Hormann, G (2009) Generalized oscillatory integrals and Fourier integral operators, Proceedings of the Edinburgh Mathematical Society, 52(2), pp.351-386, ISSN: 0013-0915. DOI: 10.1017/S0013091506000915.

Garetto, C (2009) Closed graph and open mapping theorems for topological ℂ̃-modules and applications, Mathematische Nachrichten, 282(8), pp.1159-1188, ISSN: 0025-584X. DOI: 10.1002/mana.200610793.

Garetto, C (2008) Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory, Acta Applicandae Mathematicae, 102(2-3), pp.281-318, ISSN: 0167-8019. DOI: 10.1007/s10440-008-9220-8.

Garetto, C (2008) Generalized Fourier integral operators on spaces of Colombeau type, DOI: 10.1007/978-3-7643-8969-7_8.

Garetto, C (2006) Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity, New York Journal of Mathematics, 12, pp.275-318, ISSN: 1076-9803.

Garetto, C and Hormann, G (2006) On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets, ISSN: 0561-7332.

Garetto, C and Hormann, G (2005) Microlocal analysis of generalized functions: pseudodifferential techniques and propagation of singularities, Proceedings of the Edinburgh Mathematical Society, 48(3), pp.603-629, ISSN: 0013-0915. DOI: 10.1017/S0013091504000148.

Garetto, C (2005) Topological structures in Colombeau algebras: topological ℂ̃-modules and duality theory, Acta Applicandae Mathematicae, 88(1), pp.81-123, ISSN: 0167-8019. DOI: 10.1007/s10440-005-6700-y.

Garetto, C (2005) Topological structures in Colombeau algebras: investigation of the duals of script G sign c (omega), script G sign(omega) and script G sign script S sign (R n), Monatshefte fur Mathematik, 146(3), pp.203-226, ISSN: 0026-9255. DOI: 10.1007/s00605-005-0331-2.

Garetto, C, Gramchev, T, Oberguggenberger, M (2005) Pseudodifferential operators with generalized symbols and regularity theory, Electronic Journal of Differential Equations, 2005, ISSN: 1072-6691.

Garetto, C (2004) Pseudo-differential operators in algebras of generalized functions and global hypoellipticity, Acta Applicandae Mathematicae, 80(2), pp.123-174, ISSN: 0167-8019. DOI: 10.1023/B:ACAP.0000013814.89972.3c.



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