Edit Profile (opens in new tab) Radu, Petronela Co-Author Distance Author ID: radu.petronela Published as: Radu, Petronela Documents Indexed: 25 Publications since 2005, including 5 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 22 Joint Publications 503 Co-Co-Authors all top 5 Co-Authors 3 single-authored 7 Foss, Mikil D. 4 Todorova, Grozdena Hr. 4 Toundykov, Daniel 4 Yordanov, Borislav T. 3 Bociu, Lorena 2 Trageser, Jeremy E. 2 Yu, Yue 1 Bellido, José Carlos 1 Biswas, Animesh 1 Brunnhuber, Rainer 1 Buczkowski, Nicole 1 Cueto, Javier 1 D’Elia, Marta 1 Flores, Cynthia 1 Haar, Andrew 1 Hinds, Brittney 1 Kaltenbacher, Barbara 1 Li, Xingjie Helen 1 Pankavich, Stephen 1 Wells, Kelsey 1 White, Laura Forsberg 1 Wright, Cory D. all top 5 Serials 4 Evolution Equations and Control Theory 2 Journal of Differential Equations 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Applied Mathematics and Computation 1 Transactions of the American Mathematical Society 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 SIAM Journal on Mathematical Analysis 1 Applicationes Mathematicae 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 SN Partial Differential Equations and Applications all top 5 Fields 19 Partial differential equations (35-XX) 7 Integral equations (45-XX) 6 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 178 times in 128 Documents Cited by ▼ Year ▼ Diffusion phenomenon in Hilbert spaces and applications. Zbl 1215.35097 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 31 2011 Decay estimates for wave equations with variable coefficients. Zbl 1194.35065 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 25 2010 Higher order energy decay rates for damped wave equations with variable coefficients. Zbl 1181.35024 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 21 2009 The generalized diffusion phenomenon and applications. Zbl 1331.35241 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 20 2016 Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms. Zbl 1195.35217 Radu, Petronela 18 2005 Dirichlet’s principle and wellposedness of solutions for a nonlocal \(p\)-Laplacian system. Zbl 1291.35104 Hinds, Brittney; Radu, Petronela 17 2012 Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. Zbl 1304.35434 Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela 8 2014 Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping. Zbl 1192.35122 Bociu, Lorena; Radu, Petronela 6 2009 Differentiability and integrability properties for solutions to nonlocal equations. Zbl 1353.45007 Foss, Mikil; Radu, Petronela 6 2016 A nonlocal biharmonic operator and its connection with the classical analogue. Zbl 1372.35093 Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy 6 2017 Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms. Zbl 1152.35417 Radu, Petronela 4 2008 A doubly nonlocal Laplace operator and its connection to the classical Laplacian. Zbl 1429.35189 Radu, Petronela; Wells, Kelsey 4 2019 Finite time blow-up in nonlinear suspension bridge models. Zbl 1312.34076 Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy 3 2014 Existence and regularity of minimizers for nonlocal energy functionals. Zbl 1474.49046 Foss, Mikil D.; Radu, Petronela; Wright, Cory 3 2018 Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping. Zbl 1272.35027 Bociu, Lorena; Radu, Petronela; Toundykov, Daniel 2 2013 Nonlinear instability of solutions in parabolic and hyperbolic diffusion. Zbl 1272.35029 Pankavich, Stephen; Radu, Petronela 2 2013 A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon. Zbl 07532101 Haar, Andrew; Radu, Petronela 1 2022 Strong solutions for semilinear wave equations with damping and source terms. Zbl 1264.35146 Radu, Petronela 1 2013 A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon. Zbl 07532101 Haar, Andrew; Radu, Petronela 1 2022 A doubly nonlocal Laplace operator and its connection to the classical Laplacian. Zbl 1429.35189 Radu, Petronela; Wells, Kelsey 4 2019 Existence and regularity of minimizers for nonlocal energy functionals. Zbl 1474.49046 Foss, Mikil D.; Radu, Petronela; Wright, Cory 3 2018 A nonlocal biharmonic operator and its connection with the classical analogue. Zbl 1372.35093 Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy 6 2017 The generalized diffusion phenomenon and applications. Zbl 1331.35241 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 20 2016 Differentiability and integrability properties for solutions to nonlocal equations. Zbl 1353.45007 Foss, Mikil; Radu, Petronela 6 2016 Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. Zbl 1304.35434 Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela 8 2014 Finite time blow-up in nonlinear suspension bridge models. Zbl 1312.34076 Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy 3 2014 Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping. Zbl 1272.35027 Bociu, Lorena; Radu, Petronela; Toundykov, Daniel 2 2013 Nonlinear instability of solutions in parabolic and hyperbolic diffusion. Zbl 1272.35029 Pankavich, Stephen; Radu, Petronela 2 2013 Strong solutions for semilinear wave equations with damping and source terms. Zbl 1264.35146 Radu, Petronela 1 2013 Dirichlet’s principle and wellposedness of solutions for a nonlocal \(p\)-Laplacian system. Zbl 1291.35104 Hinds, Brittney; Radu, Petronela 17 2012 Diffusion phenomenon in Hilbert spaces and applications. Zbl 1215.35097 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 31 2011 Decay estimates for wave equations with variable coefficients. Zbl 1194.35065 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 25 2010 Higher order energy decay rates for damped wave equations with variable coefficients. Zbl 1181.35024 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 21 2009 Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping. Zbl 1192.35122 Bociu, Lorena; Radu, Petronela 6 2009 Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms. Zbl 1152.35417 Radu, Petronela 4 2008 Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms. Zbl 1195.35217 Radu, Petronela 18 2005 all cited Publications top 5 cited Publications all top 5 Cited by 161 Authors 11 Wakasugi, Yuta 8 Ikehata, Ryo 8 Radu, Petronela 7 Rammaha, Mohammad A. 7 Sobajima, Motohiro 5 Kaltenbacher, Barbara 5 Takeda, Hiroshi 5 Todorova, Grozdena Hr. 5 Toundykov, Daniel 4 Guo, Yanqiu 4 Muñoz, Julio 4 Nikolić, Vanja 4 Yordanov, Borislav T. 3 Andrés, Fuensanta 3 Bellido, José Carlos 3 Bociu, Lorena 3 Cavalcanti, Marcelo Moreira 3 Domingos Cavalcanti, Valéria Neves 3 Du, Qiang 3 Mora-Corral, Carlos 3 Tian, Xiaochuan 3 Vitillaro, Enzo 2 Alali, Bacim 2 Albin, Nathan 2 Autuori, Giuseppina 2 Charão, Ruy Coimbra 2 Chen, Wenhui 2 da Luz, Cleverson Roberto 2 Dao, Tuan Anh 2 Ikeda, Masahiro 2 Kass, Nicholas J. 2 Lai, Ningan 2 Nguyen Huy Tuan 2 Nie, Yufeng 2 Pan, Xinghong 2 Pei, Pei 2 Pucci, Patrizia 2 Royer, Julien 2 Salvatori, Maria Cesarina 2 Shi, Kehan 2 Taylor, Montgomery 2 Thach, Tran Ngoc 2 Tu, Ziheng 2 Webler, Claudete M. 2 Yang, Mengna 2 Zhang, Zhifei 1 Aksoylu, Burak 1 Aloui, Lassaad 1 Arama, Amal 1 Araújo, Adérito 1 Arawomo, Peter Olutola 1 Astudillo, María R. 1 Azaiez, Asma 1 Besma, Khelili 1 Beyer, Horst Reinhard 1 Bobaru, Florin 1 Brunnhuber, Rainer 1 Cam Vu, Hoan Luu 1 Can, Nguyen Huu 1 Caraballo Garrido, Tomás 1 Celiker, Fatih 1 Chen, Yong 1 Chern, I-Liang 1 Christov, Ivan C. 1 Cueto, Javier 1 Dahiya, Sumita 1 D’Ambrosio, Lorenzo 1 Dayal, Kaushik 1 Deka, Bhupen 1 D’Elia, Marta 1 Dimova, Milena 1 Dutta, Jogen 1 Elmoataz, Abderrahim 1 Evgrafov, Anton 1 Fadili, Jalal M. 1 Faouzia, Rebbani 1 Feng, Baowei 1 Ferreira, Vanderley jun. 1 Foss, Mikil D. 1 Fujiwara, Kazumasa 1 Fukuoka, Ryuichi 1 Gesztesy, Fritz 1 Gulian, Mamikon 1 Gunzburger, Max D. 1 Ha, Tae Gab 1 Haar, Andrew 1 Hafiene, Yosra 1 Han, Zhaolong 1 Holden, Helge 1 Inui, Takahisa 1 Jafarzadeh, Siavash 1 Joly, Romain 1 Jorge da Silva, Marcio Antonio 1 Karniadakis, George Em 1 Kolkovska, Natalia T. 1 Kutev, Nikolai D. 1 Larios, Adam 1 Lasiecka, Irena 1 Lee, Hwi-Young 1 Lei, Qian ...and 61 more Authors all top 5 Cited in 58 Serials 12 Journal of Differential Equations 11 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Optimization 5 Applicable Analysis 5 Asymptotic Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 NoDEA. Nonlinear Differential Equations and Applications 4 Nonlinear Analysis. Real World Applications 4 Evolution Equations and Control Theory 3 Archive for Rational Mechanics and Analysis 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of the Mathematical Society of Japan 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Physics 2 Ukrainian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Journal of Integral Equations and Applications 2 Communications on Pure and Applied Analysis 2 Journal of Hyperbolic Differential Equations 2 Open Mathematics 1 Israel Journal of Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Fractional Calculus & Applied Analysis 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Portugaliae Mathematica. Nova Série 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proyecciones 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Control and Related Fields 1 Advances in Nonlinear Analysis 1 AIMS Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 25 Fields 112 Partial differential equations (35-XX) 22 Mechanics of deformable solids (74-XX) 17 Operator theory (47-XX) 12 Integral equations (45-XX) 11 Functional analysis (46-XX) 9 Numerical analysis (65-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year