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## Ebert, Marcelo Rempel

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 Author ID: ebert.marcelo-rempel Published as: Ebert, M. R.; Ebert, Marcelo R.; Ebert, Marcelo Rempel External Links: MGP · Wikidata
 Documents Indexed: 28 Publications since 2005, including 3 Books
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#### Co-Authors

 1 single-authored 12 D’Abbicco, Marcello 6 Reissig, Michael 4 Picon, Tiago Henrique 3 Kapp, Rafael Augusto dos Santos 2 dos Santos Filho, José Ruidival 2 Fitriana, Laila 2 Hirosawa, Fumihiko 1 Bergamasco, Adalberto Panobianco 1 da Luz, Cleverson Roberto 1 Dattori da Silva, Paulo L. 1 do Nascimento, Wanderley Nunes 1 Georgiev, Vladimir S. 1 Girardi, G. A. 1 Lourenço, Linniker Monteiro 1 Lucente, Sandra 1 Nascimento, W. N. 1 Ozawa, Tohru 1 Palma, Maíra F. G.
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#### Serials

 4 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Nonlinear Analysis. Real World Applications 1 Journal of Hyperbolic Differential Equations 1 Journal of Pseudo-Differential Operators and Applications 1 Trends in Mathematics 1 Publicações Matemáticas do IMPA

#### Fields

 28 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

20 Publications have been cited 143 times in 79 Documents Cited by Year
Diffusion phenomena for the wave equation with structural damping in the $$L^p-L^q$$ framework. Zbl 1288.35073
D’Abbicco, M.; Ebert, M. R.
2014
An application of $$L^p-L^q$$ decay estimates to the semi-linear wave equation with parabolic-like structural damping. Zbl 1284.35058
D’Abbicco, M.; Ebert, M. R.
2014
A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations. Zbl 1355.35015
D’Abbicco, M.; Ebert, M. R.
2017
A classification of structural dissipations for evolution operators. Zbl 1350.35102
D’Abbicco, M.; Ebert, M. R.
2016
Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation. Zbl 1350.42045
D’Abbicco, M.; Ebert, M. R.; Picon, T.
2016
Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166
Ebert, Marcelo R.; Reissig, Michael
2018
A class of dissipative wave equations with time-dependent speed and damping. Zbl 1261.35084
D’Abbicco, M.; Ebert, M. R.
2013
Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135
Ebert, Marcelo Rempel; Reissig, Michael
2016
Hyperbolic-like estimates for higher order equations. Zbl 1250.35140
D’Abbicco, M.; Ebert, M. R.
2012
Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation. Zbl 1404.35045
D’Abbicco, M.; Ebert, M. R.; Lucente, S.
2017
On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050
Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko
2015
A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163
Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes
2018
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080
Ebert, M. R.; Reissig, M.
2018
Global existence of small data solutions to the semilinear fractional wave equation. Zbl 1387.35605
D’abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago
2017
Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. Zbl 1173.35300
Bergamasco, Adalberto P.; da Silva, Paulo L. Dattori; Ebert, Marcelo R.
2009
The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148
Ebert, M. R.; Reissig, Michael
2011
On the Cauchy problem for $$2\times 2$$ weakly hyperbolic systems. Zbl 1122.35066
Ebert, Marcelo Rempel
2005
Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 07262923
Ebert, M. R.; Girardi, G.; Reissig, M.
2020
The critical exponent for evolution models with power non-linearity. Zbl 1428.35060
Ebert, Marcelo Rempel; Lourenço, Linniker Monteiro
2019
On the loss of regularity for a class of weakly hyperbolic operators. Zbl 1178.35260
Ebert, M. R.; Kapp, R. A.; Dos Santos Filho, J. R.
2009
Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 07262923
Ebert, M. R.; Girardi, G.; Reissig, M.
2020
The critical exponent for evolution models with power non-linearity. Zbl 1428.35060
Ebert, Marcelo Rempel; Lourenço, Linniker Monteiro
2019
Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166
Ebert, Marcelo R.; Reissig, Michael
2018
A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163
Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes
2018
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080
Ebert, M. R.; Reissig, M.
2018
A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations. Zbl 1355.35015
D’Abbicco, M.; Ebert, M. R.
2017
Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation. Zbl 1404.35045
D’Abbicco, M.; Ebert, M. R.; Lucente, S.
2017
Global existence of small data solutions to the semilinear fractional wave equation. Zbl 1387.35605
D’abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago
2017
A classification of structural dissipations for evolution operators. Zbl 1350.35102
D’Abbicco, M.; Ebert, M. R.
2016
Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation. Zbl 1350.42045
D’Abbicco, M.; Ebert, M. R.; Picon, T.
2016
Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135
Ebert, Marcelo Rempel; Reissig, Michael
2016
On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050
Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko
2015
Diffusion phenomena for the wave equation with structural damping in the $$L^p-L^q$$ framework. Zbl 1288.35073
D’Abbicco, M.; Ebert, M. R.
2014
An application of $$L^p-L^q$$ decay estimates to the semi-linear wave equation with parabolic-like structural damping. Zbl 1284.35058
D’Abbicco, M.; Ebert, M. R.
2014
A class of dissipative wave equations with time-dependent speed and damping. Zbl 1261.35084
D’Abbicco, M.; Ebert, M. R.
2013
Hyperbolic-like estimates for higher order equations. Zbl 1250.35140
D’Abbicco, M.; Ebert, M. R.
2012
The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148
Ebert, M. R.; Reissig, Michael
2011
Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. Zbl 1173.35300
Bergamasco, Adalberto P.; da Silva, Paulo L. Dattori; Ebert, Marcelo R.
2009
On the loss of regularity for a class of weakly hyperbolic operators. Zbl 1178.35260
Ebert, M. R.; Kapp, R. A.; Dos Santos Filho, J. R.
2009
On the Cauchy problem for $$2\times 2$$ weakly hyperbolic systems. Zbl 1122.35066
Ebert, Marcelo Rempel
2005
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#### Cited by 77 Authors

 25 D’Abbicco, Marcello 13 Ebert, Marcelo Rempel 8 Reissig, Michael 7 Ikehata, Ryo 4 Takeda, Hiroshi 4 Yagdjian, Karen 3 Charão, Ruy Coimbra 3 da Luz, Cleverson Roberto 3 Dao, Tuan Anh 3 Dattori da Silva, Paulo L. 3 Lucente, Sandra 3 Palmieri, Alessandro 3 Picon, Tiago Henrique 2 Bachelot, Alain 2 Chen, Wenhui 2 De Luca, Alessandra 2 Fan, Dashan 2 Galstian, Anahit 2 Ghisi, Marina 2 Gobbino, Massimo 2 Kapp, Rafael Augusto dos Santos 2 Wakasugi, Yuta 2 Yamazaki, Taeko 1 Aliev, Akbar B. 1 Alvarez, Edgardo 1 Area, Iván 1 Aslan, Halit Sevki 1 Bergamasco, Adalberto Panobianco 1 Chen, Jingchun 1 da Silva, Evandro Raimundo 1 Denk, Robert 1 Djaouti, Abdelhamid Mohammed 1 Djida, Jean Daniel 1 do Nascimento, Wanderley Nunes 1 dos Santos Filho, José Ruidival 1 Fernandez, Arran 1 Fujiwara, Kenji 1 Gal, Ciprian Gheorghe Sorin 1 Georgiev, Vladimir S. 1 Girardi, G. A. 1 Girardi, Georges 1 Gonzalez, Rafael Borro 1 Hirosawa, Fumihiko 1 Jannelli, Enrico 1 Kawakami, Tatsuki 1 Keyantuo, Valentin 1 Lai, Ning-An 1 Li, Baode 1 Li, Haitong 1 Li, Jingyu 1 Li, Yanshuo 1 Liang, Dong 1 Liang, Jinju 1 Liu, Xiong 1 Mei, Ming 1 Mezadek, Mohamed Kainane 1 Michihisa, Hironori 1 Mitra, Sourav 1 Palma, Maíra F. G. 1 Pashaev, Asif F. 1 Pham, Duong Trieu 1 Qiu, Xiaoli 1 Ruan, Jianmiao 1 Sawada, Atsushi 1 Schiavone, Nico Michele 1 Schnaubelt, Roland 1 Soga, Marina 1 Takamura, Hiroyuki 1 Wang, Yuzhu 1 Warma, Mahamadi 1 Wirth, Jens 1 Xie, Jianqiang 1 Yoshikawa, Shuji 1 Zhang, Chunjie 1 Zhang, Kaijun 1 Zhang, Kangqun 1 Zhang, Zhiyue
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#### Cited in 31 Serials

 11 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 NoDEA. Nonlinear Differential Equations and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Discrete and Continuous Dynamical Systems 3 Journal of Hyperbolic Differential Equations 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Asymptotic Analysis 2 Nonlinear Analysis. Real World Applications 2 Communications on Pure and Applied Analysis 2 Journal of Pseudo-Differential Operators and Applications 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Osaka Journal of Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Fractional Calculus & Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Operator Theory
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#### Cited in 15 Fields

 76 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Relativity and gravitational theory (83-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)