Edit Profile (opens in new tab) Ebert, Marcelo Rempel Compute Distance To: Compute Author ID: ebert.marcelo-rempel Published as: Ebert, M. R.; Ebert, Marcelo Rempel; Ebert, Marcelo R. more...less External Links: MGP Documents Indexed: 31 Publications since 2005, including 2 Books 1 Contribution as Editor Co-Authors: 18 Co-Authors with 30 Joint Publications 258 Co-Co-Authors all top 5 Co-Authors 1 single-authored 15 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, Giovanni 1 Lourenço, Linniker Monteiro 1 Lucente, Sandra 1 Nascimento, W. N. 1 Ozawa, Tohru 1 Palma, Maíra F. G. all top 5 Serials 5 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Differential Equations 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Asymptotic Analysis 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 32 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 246 times in 133 Documents Cited by ▼ Year ▼ Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework. Zbl 1288.35073D’Abbicco, M.; Ebert, M. R. 44 2014 A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations. Zbl 1355.35015D’Abbicco, M.; Ebert, M. R. 30 2017 An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping. Zbl 1284.35058D’Abbicco, M.; Ebert, M. R. 27 2014 Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166Ebert, Marcelo R.; Reissig, Michael 23 2018 A classification of structural dissipations for evolution operators. Zbl 1350.35102D’Abbicco, M.; Ebert, M. R. 23 2016 A class of dissipative wave equations with time-dependent speed and damping. Zbl 1261.35084D’Abbicco, M.; Ebert, M. R. 13 2013 Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation. Zbl 1350.42045D’Abbicco, M.; Ebert, M. R.; Picon, T. 13 2016 Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135Ebert, Marcelo Rempel; Reissig, Michael 11 2016 Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080Ebert, M. R.; Reissig, M. 10 2018 Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation. Zbl 1404.35045D’Abbicco, M.; Ebert, M. R.; Lucente, S. 8 2017 Global existence of small data solutions to the semilinear fractional wave equation. Zbl 1387.35605D’abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago 6 2017 On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko 5 2015 Hyperbolic-like estimates for higher order equations. Zbl 1250.35140D’Abbicco, M.; Ebert, M. R. 5 2012 Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 1450.35158Ebert, M. R.; Girardi, G.; Reissig, M. 5 2020 Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. Zbl 1173.35300Bergamasco, Adalberto P.; da Silva, Paulo L. Dattori; Ebert, Marcelo R. 4 2009 A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes 4 2018 The critical exponent(s) for the semilinear fractional diffusive equation. Zbl 1414.35255D’Abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago Henrique 3 2019 The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148Ebert, M. R.; Reissig, Michael 2 2011 On the Cauchy problem for \(2\times 2\) weakly hyperbolic systems. Zbl 1122.35066Ebert, Marcelo Rempel 2 2005 The influence of data regularity in the critical exponent for a class of semilinear evolution equations. Zbl 1450.35054Ebert, Marcelo R.; da Luz, Cleverson R.; Palma, Maíra F. G. 2 2020 The critical exponent for evolution models with power non-linearity. Zbl 1428.35060Ebert, Marcelo Rempel; Lourenço, Linniker Monteiro 2 2019 The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping. Zbl 1481.35040D’Abbicco, M.; Ebert, M. R. 2 2022 On the loss of regularity for a class of weakly hyperbolic operators. Zbl 1178.35260Ebert, M. R.; Kapp, R. A.; Dos Santos Filho, J. R. 1 2009 Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients. Zbl 1473.35548D’abbicco, Marcello; Ebert, Marcelo Rempel 1 2021 The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping. Zbl 1481.35040D’Abbicco, M.; Ebert, M. R. 2 2022 Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients. Zbl 1473.35548D’abbicco, Marcello; Ebert, Marcelo Rempel 1 2021 Critical regularity of nonlinearities in semilinear classical damped wave equations. Zbl 1450.35158Ebert, M. R.; Girardi, G.; Reissig, M. 5 2020 The influence of data regularity in the critical exponent for a class of semilinear evolution equations. Zbl 1450.35054Ebert, Marcelo R.; da Luz, Cleverson R.; Palma, Maíra F. G. 2 2020 The critical exponent(s) for the semilinear fractional diffusive equation. Zbl 1414.35255D’Abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago Henrique 3 2019 The critical exponent for evolution models with power non-linearity. Zbl 1428.35060Ebert, Marcelo Rempel; Lourenço, Linniker Monteiro 2 2019 Methods for partial differential equations. Qualitative properties of solutions, phase space analysis, semilinear models. Zbl 06811166Ebert, Marcelo R.; Reissig, Michael 23 2018 Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity. Zbl 1387.35080Ebert, M. R.; Reissig, M. 10 2018 A classification for wave models with time-dependent potential and speed of propagation. Zbl 1402.35163Ebert, Marcelo Rempel; do Nascimento, Wanderley Nunes 4 2018 A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations. Zbl 1355.35015D’Abbicco, M.; Ebert, M. R. 30 2017 Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation. Zbl 1404.35045D’Abbicco, M.; Ebert, M. R.; Lucente, S. 8 2017 Global existence of small data solutions to the semilinear fractional wave equation. Zbl 1387.35605D’abbicco, Marcello; Ebert, Marcelo Rempel; Picon, Tiago 6 2017 A classification of structural dissipations for evolution operators. Zbl 1350.35102D’Abbicco, M.; Ebert, M. R. 23 2016 Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation. Zbl 1350.42045D’Abbicco, M.; Ebert, M. R.; Picon, T. 13 2016 Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135Ebert, Marcelo Rempel; Reissig, Michael 11 2016 On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko 5 2015 Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework. Zbl 1288.35073D’Abbicco, M.; Ebert, M. R. 44 2014 An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping. Zbl 1284.35058D’Abbicco, M.; Ebert, M. R. 27 2014 A class of dissipative wave equations with time-dependent speed and damping. Zbl 1261.35084D’Abbicco, M.; Ebert, M. R. 13 2013 Hyperbolic-like estimates for higher order equations. Zbl 1250.35140D’Abbicco, M.; Ebert, M. R. 5 2012 The influence of oscillations on global existence for a class of semi-linear wave equations. Zbl 1225.35148Ebert, M. R.; Reissig, Michael 2 2011 Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. Zbl 1173.35300Bergamasco, Adalberto P.; da Silva, Paulo L. Dattori; Ebert, Marcelo R. 4 2009 On the loss of regularity for a class of weakly hyperbolic operators. Zbl 1178.35260Ebert, M. R.; Kapp, R. A.; Dos Santos Filho, J. R. 1 2009 On the Cauchy problem for \(2\times 2\) weakly hyperbolic systems. Zbl 1122.35066Ebert, Marcelo Rempel 2 2005 all cited Publications top 5 cited Publications all top 5 Cited by 117 Authors 32 D’Abbicco, Marcello 17 Ebert, Marcelo Rempel 14 Reissig, Michael 11 Ikehata, Ryo 10 Dao, Tuan Anh 7 Palmieri, Alessandro 6 Charão, Ruy Coimbra 6 Chen, Wenhui 6 Takeda, Hiroshi 5 Girardi, Giovanni 5 Yagdjian, Karen 4 da Luz, Cleverson Roberto 4 Dattori da Silva, Paulo L. 4 Lucente, Sandra 4 Wakasugi, Yuta 3 Aslan, Halit Sevki 3 Galstian, Anahit 3 Mezadek, Mohamed Kainane 3 Picon, Tiago Henrique 3 Piske, Alessandra 3 Yamazaki, Taeko 2 Aliev, Akbar B. 2 Bachelot, Alain 2 Caraballo Garrido, Tomás 2 De Luca, Alessandra 2 Fan, Dashan 2 Ghisi, Marina 2 Gobbino, Massimo 2 Hirosawa, Fumihiko 2 Kapp, Rafael Augusto dos Santos 2 Lai, Ningan 2 Michihisa, Hironori 2 Nascimento, Marcelo Jose Dias 2 Pashaev, Asif F. 2 Schiavone, Nico Michele 2 Suzuki, Masamitsu 2 Takamura, Hiroyuki 1 Alvarez, Edgardo 1 Aragão, Gleiciane S. 1 Arawomo, Peter Olutola 1 Area, Iván 1 Bao, Ngoc Tran 1 Belluzi, Maykel 1 Berbiche, Mohamed 1 Bergamasco, Adalberto Panobianco 1 Bezerra, Flank David Morais 1 Brauer, Uwe 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 Doss, Forrest W. 1 Fernandez, Arran 1 Figueroa-López, Rodiak N. 1 Filippucci, Roberta 1 Fujiwara, Kazumasa 1 Gal, Ciprian Gheorghe Sorin 1 Georgiev, Vladimir S. 1 Ghergu, Marius 1 Goldstein, Jerome Arthur 1 Gonzalez, Rafael Borro 1 Huang, Jianhua 1 Ikeda, Masahiro 1 Jannelli, Enrico 1 Kaddour, Tayeb Hadj 1 Karp, Lavi 1 Kawakami, Tatsuki 1 Keyantuo, Valentin 1 Li, Baode 1 Li, Haitong 1 Li, Jingyu 1 Li, Yanshuo 1 Liang, Dong 1 Liang, Jinju 1 Liu, Xiong 1 Liu, Yan 1 Liu, Zhiming 1 Lizama, Carlos 1 Mei, Ming 1 Mezadek, Mourad Kainane 1 Mitra, Sourav 1 Murillo-Arcila, Marina 1 Natário, José 1 Nguyen Huy Tuan 1 Oberguggenberger, Michael B. 1 Ogbiyele, Paul Adewale 1 Palma, Maíra F. G. 1 Pham, Duong Trieu 1 Qin, Xulong 1 Qiu, Xiaoli 1 Romanelli, Silvia 1 Ruan, Jianmiao 1 Ruiz Goldstein, Giséle 1 Sasane, Amol J. 1 Sawada, Atsushi 1 Schiabel, Karina 1 Schnaubelt, Roland ...and 17 more Authors all top 5 Cited in 47 Serials 17 Journal of Mathematical Analysis and Applications 16 Journal of Differential Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 NoDEA. Nonlinear Differential Equations and Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Asymptotic Analysis 4 Discrete and Continuous Dynamical Systems 4 Journal of Hyperbolic Differential Equations 3 Journal of Mathematical Physics 3 Nonlinear Analysis. Real World Applications 3 Communications on Pure and Applied Analysis 3 Journal of Pseudo-Differential Operators and Applications 2 Communications in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Hokkaido Mathematical Journal 2 The Journal of Fourier Analysis and Applications 2 Fractional Calculus & Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Nonlinearity 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tôhoku 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 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Proyecciones 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Advances in Operator Theory all top 5 Cited in 19 Fields 128 Partial differential equations (35-XX) 13 Mechanics of deformable solids (74-XX) 9 Real functions (26-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Relativity and gravitational theory (83-XX) 5 Functional analysis (46-XX) 4 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year