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Found 43 Documents (Results 1–43)

On the Cauchy problem for \(p\)-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness. arXiv:2309.05571

Preprint, arXiv:2309.05571 [math.AP] (2023).
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Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces I – Operators with uniformly bounded coefficients. arXiv:2207.08428

Preprint, arXiv:2207.08428 [math.AP] (2022).
MSC:  35R60 60H15 35Q40
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Random-field solutions of linear parabolic stochastic partial differential equations with polynomially bounded variable coefficients. (English) Zbl 1461.35253

Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 35-62 (2021).
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Semilinear \(p\)-evolution equations in weighted Sobolev spaces. (English) Zbl 1461.35107

Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 1-34 (2021).
MSC:  35G25 35Q53 35Q55
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The global Cauchy problem for the plate equation in weighted Sobolev spaces. (English) Zbl 1444.35112

Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 41-57 (2020).
MSC:  35L30 35B45 74K20
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On temperate distributions decaying at infinity. (English) Zbl 1390.35451

Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 1-18 (2017).
MSC:  35S30
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Well-posedness for a generalized Boussinesq equation. (English) Zbl 1327.35069

Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 193-202 (2015).
MSC:  35G25 35Q35
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The fundamental solution for a second order weakly hyperbolic Cauchy problem. (English) Zbl 1132.35052

Padula, Mariarosaria (ed.) et al., Hyperbolic problems and regularity questions. Basel: Birkhäuser (ISBN 978-3-7643-7450-1/hbk; 978-3-7643-7451-8/pbk). Trends in Mathematics, 17-25 (2007).
MSC:  35L15 35L80 35A08
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Well-posedness of the Cauchy problem for some degenerate hyperbolic operators. (English) Zbl 1101.35058

Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 23-41 (2006).
MSC:  35L80 35L15 35S05 35A05
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