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Duerinckx, Mitia; Gloria, Antoine; Ruf, Matthias

A spectral ansatz for the long-time homogenization of the wave equation. (Un ansatz spectral pour l’homogénéisation de l’équation des ondes en temps long.) (English. French summary) Zbl 1536.35032

J. Éc. Polytech., Math. 11, 523-587 (2024).
MSC:  35B27 35B40 35C20 35L05 35L15 74Q10 74Q15 74H40 35P05
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\textit{M. Duerinckx} et al., J. Éc. Polytech., Math. 11, 523--587 (2024; Zbl 1536.35032)
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D’Abbicco, Marcello; Girardi, Giovanni

Second order \(p\)-evolution equations with critical nonlinearity. (English) Zbl 1534.35262

“Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 263-280 (2024).
MSC:  35L15 35L71 35L90 35B33
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\textit{M. D'Abbicco} and \textit{G. Girardi}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 263--280 (2024; Zbl 1534.35262)
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D’Abbicco, Marcello

Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space. arXiv:2408.11756

Preprint, arXiv:2408.11756 [math.AP] (2024).
MSC:  35L71 35L15 35B33 35A01
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\textit{M. D'Abbicco}, ``Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space'', Preprint, arXiv:2408.11756 [math.AP] (2024)
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Kumar, Vishvesh; Mondal, Shyam Swarup; Ruzhansky, Michael; Torebek, Berikbol T.

Blow-up result for semilinear damped wave equations with data from negative order Sobolev spaces: the critical case. arXiv:2408.05598

Preprint, arXiv:2408.05598 [math.AP] (2024).
MSC:  43A80 35L15 35L71 35A01 35L15 35B33 35B44
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\textit{V. Kumar} et al., ``Blow-up result for semilinear damped wave equations with data from negative order Sobolev spaces: the critical case'', Preprint, arXiv:2408.05598 [math.AP] (2024)
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Yagdjian, Karen; Galstian, Anahit

Semilinear Klein-Gordon equation in space-time of black hole, which is gaining mass in the universe with accelerating expansion. arXiv:2404.09054

Preprint, arXiv:2404.09054 [math.AP] (2024).
MSC:  35A01 35L15 35L71 35Q75 83C57
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\textit{K. Yagdjian} and \textit{A. Galstian}, ``Semilinear Klein-Gordon equation in space-time of black hole, which is gaining mass in the universe with accelerating expansion'', Preprint, arXiv:2404.09054 [math.AP] (2024)
Full Text: arXiv
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Dasgupta, Aparajita; Kumar, Vishvesh; Mondal, Shyam Swarup; Ruzhansky, Michael

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces. arXiv:2404.08766

Preprint, arXiv:2404.08766 [math.AP] (2024).
MSC:  43A80 35L15 35L71 35A01 35L15 35B33 35B44
BibTeX Cite
\textit{A. Dasgupta} et al., ``Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces'', Preprint, arXiv:2404.08766 [math.AP] (2024)
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Lin, Jiayun; Ikeda, Masahiro

Upper estimates of the lifespan for the fractional wave equations with time-dependent damping and a power nonlinearity of subcritical and critical Fujita exponent. arXiv:2401.10552

Preprint, arXiv:2401.10552 [math.AP] (2024).
MSC:  35B44 35A01 35L15 35L05
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\textit{J. Lin} and \textit{M. Ikeda}, ``Upper estimates of the lifespan for the fractional wave equations with time-dependent damping and a power nonlinearity of subcritical and critical Fujita exponent'', Preprint, arXiv:2401.10552 [math.AP] (2024)
Full Text: arXiv
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Goto, Kazunori; Hirosawa, Fumihiko

On the wave-like energy estimates of Klein-Gordon type equations with time dependent potential. (English) Zbl 07859845

Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 635-646 (2023).
MSC:  35B40 35L15
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\textit{K. Goto} and \textit{F. Hirosawa}, in: Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2--6, 2021. Cham: Birkhäuser. 635--646 (2023; Zbl 07859845)
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Girardi, Giovanni

A Klein-Gordon model with time-dependent coefficients and a memory-type nonlinearity. (English) Zbl 07859843

Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 603-619 (2023).
MSC:  35L71 35B33 35L15
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\textit{G. Girardi}, in: Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2--6, 2021. Cham: Birkhäuser. 603--619 (2023; Zbl 07859843)
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Pham Trieu Duong

The asymptotic estimates of the solutions to the linear damping models with spatial dependent coefficients. (English) Zbl 07859842

Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 591-602 (2023).
MSC:  35R11 35B40 35L15 35L20
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\textit{Pham Trieu Duong}, in: Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2--6, 2021. Cham: Birkhäuser. 591--602 (2023; Zbl 07859842)
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Dorodnyi, M. A.; Suslina, T. A.

Homogenization of hyperbolic equations: operator estimates with correctors taken into account. (English. Russian original) Zbl 1537.35036

Funct. Anal. Appl. 57, No. 4, 364-370 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 123-129 (2023).
MSC:  35B27 35L15 47D09
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\textit{M. A. Dorodnyi} and \textit{T. A. Suslina}, Funct. Anal. Appl. 57, No. 4, 364--370 (2023; Zbl 1537.35036); translation from Funkts. Anal. Prilozh. 57, No. 4, 123--129 (2023)
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Melliani, S.; Moujahid, A.; Gueradi, F.; Elomari, M.

Generalized solution of non-homogeneous wave equation. (English) Zbl 1539.35031

Melliani, Said (ed.) et al., Recent advances in fuzzy sets theory, fractional calculus, dynamic systems and optimization. Contributions based on the presentations at the international conference on partial differential equations and applications, modeling and simulation, Beni Mellal, Morocco, from June 1–2, 2021. Cham: Springer. Lect. Notes Netw. Syst. 476, 210-218 (2023).
MSC:  35D30 35L15 35L71 46F30
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\textit{S. Melliani} et al., Lect. Notes Netw. Syst. 476, 210--218 (2023; Zbl 1539.35031)
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Babich, V. M.

Application of the Hadamard function to the mathematical description of a tsunami wave arising from a localized source. (English. Russian original) Zbl 1532.35006

J. Math. Sci., New York 277, No. 4, 487-491 (2023); translation from Zap. Nauchn. Semin. POMI 493, 22-28 (2020).
MSC:  35A08 35C15 35L15
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\textit{V. M. Babich}, J. Math. Sci., New York 277, No. 4, 487--491 (2023; Zbl 1532.35006); translation from Zap. Nauchn. Semin. POMI 493, 22--28 (2020)
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Levenshtam, Valeriĭ Borisovich

Reconstruction of a rapidly oscillating lowest coefficient and the source of a hyperbolic equation from the partial asymptotics of the solution. (Russian. English summary) Zbl 1538.35464

Vladikavkaz. Mat. Zh. 25, No. 3, 111-122 (2023); translation in Sib. Math. J. 65, No. 3, 709-717 (2024).
MSC:  35R30 35B40 35B27 35L15
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\textit{V. B. Levenshtam}, Vladikavkaz. Mat. Zh. 25, No. 3, 111--122 (2023; Zbl 1538.35464); translation in Sib. Math. J. 65, No. 3, 709--717 (2024)
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