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L-p - L-q-Maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain

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L-p - L-q-Maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain

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dc.contributor.author Lizama, Carlos es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2021-05-12T03:31:59Z
dc.date.available 2021-05-12T03:31:59Z
dc.date.issued 2020-10-20 es_ES
dc.identifier.issn 1687-1847 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166208
dc.description.abstract [EN] We consider the maximal regularity problem for a PDE of linear acoustics, named the Van Wijngaarden-Eringen equation, that models the propagation of linear acoustic waves in isothermal bubbly liquids, wherein the bubbles are of uniform radius. If the dimensionless bubble radius is greater than one, we prove that the inhomogeneous version of the Van Wijngaarden-Eringen equation, in a cylindrical domain, admits maximal regularity in Lebesgue spaces. Our methods are based on the theory of operator-valued Fourier multipliers. es_ES
dc.description.sponsorship The first author is partially supported by FONDECYT grant number 1180041 and DICYT, Universidad de Santiago de Chile, USACH. The second author is supported by MEC, grants MTM2016-75963-P and PID2019-105011GB-I00. es_ES
dc.language Inglés es_ES
dc.relation.ispartof Advances in Difference Equations es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Maximal regularity es_ES
dc.subject Van Wijngaarden-Eringen equation es_ES
dc.subject Degenerate evolution equations es_ES
dc.subject R-boundedness es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title L-p - L-q-Maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/s13662-020-03054-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDECYT//1180041/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Lizama, C.; Murillo Arcila, M. (2020). L-p - L-q-Maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain. Advances in Difference Equations. 2020(1):1-10. https://doi.org/10.1186/s13662-020-03054-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1186/s13662-020-03054-5 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2020 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\427223 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Fondo Nacional de Desarrollo Científico y Tecnológico, Chile es_ES
dc.contributor.funder Departamento de Investigaciones Científicas y Tecnológicas, Universidad de Santiago de Chile es_ES
dc.description.references Anufrieva, U.A.: A degenerate Cauchy problem for a second-order equation. A well-posedness criterion. Differ. Uravn. 34(8), 1131–1133 (1998) (Russian). Translation in: Differ. Equ. 34(8), 1135–1137 (1999) es_ES
dc.description.references Arendt, W., Bu, S.: The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Math. Z. 240(2), 311–343 (2002) es_ES
dc.description.references Bu, S., Cai, G.: Periodic solutions of second order degenerate differential equations with delay in Banach spaces. Can. Math. Bull. 61(4), 717–737 (2018) es_ES
dc.description.references Carroll, R.W., Showalter, R.E.: Singular and Degenerate Cauchy Problems. Academic Press, New York (1976) es_ES
dc.description.references Chipot, M.: ℓ Goes to Plus Infinity. Birkhaüser Advanced Texts: Basler Lehrbücher. Birkhäuser Advanced Texts: Basel Textbooks. Birkhäuser, Basel (2002) es_ES
dc.description.references Chipot, M.: Elliptic Equations: An Introductory Course. Birkhäuser Advanced Texts: Basler Lehrbücher. Birkhäuser Advanced Texts: Basel Textbooks. Birkhäuser, Basel (2009) es_ES
dc.description.references Conejero, A., Lizama, C., Murillo, M.: On the existence of chaos for the viscous Van Wijngaarden–Eringen equation. Chaos Solitons Fractals 89, 100–104 (2016) es_ES
dc.description.references Denk, R., Hieber, M., Prüss, J.: R-Boundedness, Fourier multipliers and problems of elliptic and parabolic type. Mem. Am. Math. Soc. 166, 788 (2003) es_ES
dc.description.references Denk, R., Nau, T.: Discrete Fourier multipliers and cylindrical boundary-value problems. Proc. R. Soc. Edinb., Sect. A 143(6), 1163–1183 (2013) es_ES
dc.description.references Eringen, A.C.: Theory of thermo-microstretch fluids and bubbly liquids. Int. J. Eng. Sci. 28(2), 133–143 (1990) es_ES
dc.description.references Favini, A., Yagi, A.: Degenerate Differential Equations in Banach Spaces. Chapman and Hall/CRC Pure and Applied Mathematics, New York (1998) es_ES
dc.description.references Guidotti, P.: Elliptic and parabolic problems in unbounded domains. Math. Nachr. 272, 32–45 (2004) es_ES
dc.description.references Hayes, M.A., Saccomandi, G.: Finite amplitude transverse waves in special incompressible viscoelastic solids. J. Elast. 59, 213–225 (2000) es_ES
dc.description.references Jordan, P.M., Feuillade, C.: On the propagation of harmonic acoustic waves in bubbly liquids. Int. J. Eng. Sci. 42(11–12), 1119–1128 (2004) es_ES
dc.description.references Kalton, N., Weis, L.: The $\mathcal{H}^{\infty }$-calculus and sums of closed operators. Math. Ann. 321, 319–345 (2001) es_ES
dc.description.references Keyantuo, V., Lizama, C.: Fourier multipliers and integro-differential equations in Banach spaces. J. Lond. Math. Soc. (2) 69(3), 737–750 (2004) es_ES
dc.description.references Keyantuo, V., Lizama, C.: Periodic solutions of second order differential equations in Banach spaces. Math. Z. 253(3), 489–514 (2006) es_ES
dc.description.references Kostic, M.: Abstract Degenerate Volterra Integro-Differential Equations. Mathematical Institute SANU, Belgrade (2020) es_ES
dc.description.references Nau, T.: $L^{p}$-theory of cylindrical boundary value problems. An operator-valued Fourier multiplier and functional calculus approach. Dissertation, University of Konstanz, Konstanz (2012). Springer Spektrum, Wiesbaden (2012) es_ES
dc.description.references Nau, T.: The Laplacian on cylindrical domains. Integral Equ. Oper. Theory 75, 409–431 (2013) es_ES
dc.description.references Nau, T., Saal, J.: $\mathcal{R}$-Sectoriality of cylindrical boundary value problems. In: Parabolic Problems. Progr. Nonlinear Differential Equations Appl., vol. 80, pp. 479–505. Birkhäuser, Basel (2011) es_ES
dc.description.references Nau, T., Saal, J.: Jürgen $\mathcal{H}^{\infty }$-calculus for cylindrical boundary value problems. Adv. Differ. Equ. 17(7–8), 767–800 (2012) es_ES
dc.description.references Rubin, M.B., Rosenau, P., Gottlieb, O.: Continuum model of dispersion caused by an inherent material characteristic length. J. Appl. Phys. 77, 4054–4063 (1995) es_ES
dc.description.references Sviridyuk, G.A., Fedorov, V.E.: Linear Sobolev Type Equations and Degenerate Semigroups of Operators. Inverse and Ill-Posed Problems, vol. 42. VSP, Utrecht (2003) es_ES
dc.description.references Thompson, P.A.: Compressible-Fluid Mechanics. McGraw-Hill, New York (1992) es_ES
dc.description.references Wijngaarden, L.V.: One-dimensional flow of liquids containing small gas bubbles. Annu. Rev. Fluid Mech. 4, 369–396 (1972) es_ES
dc.description.references Wood, I.: Maximal $L_{p}$-regularity for the Laplacian on Lipschitz domains. Math. Z. 255(4), 855–875 (2007) es_ES


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