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Found 671 Documents (Results 1–100)

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The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping. (English) Zbl 1481.35040

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Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition. (English) Zbl 1469.35154

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 215-225 (2021).
MSC:  35L72 35L52 35B40
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Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping. (English) Zbl 1469.35057

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 163-170 (2021).
MSC:  35B44 35L15 35L71
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Singularly perturbed boundary value problems. A functional analytic approach. (English) Zbl 1481.35005

Cham: Springer (ISBN 978-3-030-76258-2/hbk; 978-3-030-76259-9/ebook). xvi, 672 p. (2021).
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Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations. (English) Zbl 1441.35173

Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 55-84 (2019).
MSC:  35L71 35B40 35L15
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Semilinear damped Klein-Gordon models with time-dependent coefficients. (English) Zbl 1428.35225

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 203-216 (2019).
MSC:  35L71 35L15
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The critical exponent for evolution models with power non-linearity. (English) Zbl 1428.35060

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 153-177 (2019).
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Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities. (English) Zbl 1428.35207

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 97-128 (2019).
MSC:  35L52 35L71
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Global existence and blow-up for semilinear damped wave equations in three space dimensions. (English) Zbl 1418.35271

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Long time existence results for solutions of water waves equations. (English) Zbl 1448.76034

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2241-2260 (2018).
MSC:  76B15 35Q35
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