# zbMATH — the first resource for mathematics

## Evolution Equations and Control Theory

 Short Title: Evol. Equ. Control Theory Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 2163-2480/e Online: http://aimsciences.org/journals/home.jsp?journalID=25 Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2012).
 Documents Indexed: 339 Publications (since 2012) References Indexed: 255 Publications with 7,387 References.
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#### Latest Issues

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#### Authors

 6 Kaltenbacher, Barbara 6 Toundykov, Daniel 6 Triggiani, Roberto 5 Komornik, Vilmos 4 Aouadi, Moncef 4 Avalos, George 4 Bociu, Lorena 4 Haraux, Alain 4 Jordan, Pedro M. 4 Maniar, Lahcen 4 Mercier, Denis 4 Nguyen Huy Tuan 4 Radu, Petronela 4 Shibata, Yoshihiro 3 Carillo, Sandra 3 Chbani, Zaki 3 Chueshov, Igor’ Dmitrievich 3 Colli, Pierluigi 3 Disconzi, Marcelo Mendes 3 Eller, Matthias M. 3 Gilardi, Gianni 3 Kukavica, Igor 3 Lasiecka, Irena 3 Loreti, Paola 3 Mohan, Manil Thankamani 3 Naso, Maria Grazia 3 Papageorgiou, Nikolaos S. 3 Renardy, Michael 3 Riahi, Hassan 3 Said-Houari, Belkacem 3 Seidman, Thomas I. 3 Simonett, Gieri 3 Sritharan, Sivaguru S. 3 Suzuki, Toshiyuki 2 Ammar-Khodja, Farid 2 Aulisa, Eugenio 2 Avdonin, Sergeĭ Anatol’evich 2 Azzam-Laouir, Dalila 2 Ben Amara, Jamel 2 Cavalcanti, Marcelo Moreira 2 Christiansen, Peter Leth 2 Christov, Ivan C. 2 Court, Sébastien 2 de Teresa, Luz 2 Fabrizio, Mauro 2 Feng, Binhua 2 Fu, Xianlong 2 Gaididei, Yuri Borisovich 2 Gasiński, Leszek 2 Giorgi, Claudio 2 Golden, John Murrough 2 Hajjaj, Abdelkarim 2 Han, Weimin 2 Ibragimov, Akif 2 Isakov, Victor M. 2 Kuttler, Kenneth L. jun. 2 Le Roux, Daniel Y. 2 Lenhart, Suzanne M. 2 Lewicka, Marta 2 Li, Yangrong 2 Liu, Chein-Shan 2 Liu, Zhenhai 2 Mahmudov, Elimhan N. 2 Marinoschi, Gabriela 2 Migórski, Stanisław 2 Morro, Angelo 2 Moulahi, Taoufik 2 Munteanu, Ionut 2 Narciso, Vando 2 Ngom, Evrad M. D. 2 Okamoto, Mamoru 2 O’Regan, Donal 2 Özer, Ahmet Özkan 2 Pandolfi, Luciano 2 Pankavich, Stephen 2 Pata, Vittorino 2 Pazoto, Ademir Fernando 2 Perugia, Carmen 2 Prüß, Jan Wilhelm 2 Racke, Reinhard 2 Rădulescu, Vicenţiu D. 2 Russell, David L. 2 Saal, Jürgen 2 Saanouni, Tarek 2 Sene, Abdou 2 Sforza, Daniela 2 Sofonea, Mircea 2 Sokołowski, Jan 2 Sørensen, Mads Peter 2 Sprekels, Jürgen 2 Taylor, Stephen W. 2 Teniou, Djamel-Eddine 2 Thach, Tran Ngoc 2 Titi, Edriss Saleh 2 Tuffaha, Amjad M. 2 Warma, Mahamadi 2 Webster, Justin T. 2 Wilke, Mathias 2 Xiao, Yibin 2 Zhang, Jing ...and 420 more Authors
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#### Fields

 262 Partial differential equations (35-XX) 114 Systems theory; control (93-XX) 72 Mechanics of deformable solids (74-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 54 Fluid mechanics (76-XX) 43 Operator theory (47-XX) 34 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Numerical analysis (65-XX) 18 Integral equations (45-XX) 16 Probability theory and stochastic processes (60-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Biology and other natural sciences (92-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Information and communication theory, circuits (94-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

221 Publications have been cited 976 times in 829 Documents Cited by Year
Controllability for fractional evolution inclusions without compactness. Zbl 1335.34096
Zhou, Yong; Vijayakumar, V.; Murugesu, R.
2015
Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715
Azouani, Abderrahim; Titi, Edriss S.
2014
Mathematics of nonlinear acoustics. Zbl 1339.35003
Kaltenbacher, Barbara
2015
Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256
Lunasin, Evelyn; Titi, Edriss S.
2017
On the Cauchy problem for the Schrödinger-Hartree equation. Zbl 1335.35230
Feng, Binhua; Yuan, Xiangxia
2015
Rational decay rates for a PDE heat-structure interaction: a frequency domain approach. Zbl 1275.35035
Avalos, George; Triggiani, Roberto
2013
Energy methods for abstract nonlinear Schrödinger equations. Zbl 1283.35128
Okazawa, Noboru; Suzuki, Toshiyuki; Yokota, Tomomi
2012
Fluid-structure interaction with and without internal dissipation of the structure: a contrast study in stability. Zbl 1277.35045
Avalos, George; Triggiani, Roberto
2013
Carleman estimates and null controllability of coupled degenerate systems. Zbl 1272.35124
Ben Hassi, El Mustapha Ait; Khodja, Farid Ammar; Hajjaj, Abdelkarim; Maniar, Lahcen
2013
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system. Zbl 1304.35105
Said-Houari, Belkacem; Soufyane, Abdelaziz
2014
Optimal scalar products in the Moore-Gibson-Thompson equation. Zbl 1426.35171
Pellicer, Marta; Solà-Morales, Joan
2019
On Kelvin-Voigt model and its generalizations. Zbl 1371.74067
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.
2012
Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions. Zbl 1349.35412
2016
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1302.76066
Prüss, Jan; Shibata, Yoshihiro; Shimizu, Senjo; Simonett, Gieri
2012
Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions. Zbl 1277.35232
Fourrier, Nicolas; Lasiecka, Irena
2013
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems. Zbl 1302.93173
Augner, Björn; Jacob, Birgit
2014
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions. Zbl 06744040
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2017
On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation. Zbl 1364.35042
Domingos Cavalcanti, Valéria Neves; Lasiecka, Irena; Caixeta, Arthur Henrique
2016
Certain questions of feedback stabilization for Navier-Stokes equations. Zbl 1259.93095
Fursikov, Andrei; Gorshkov, Alexey V.
2012
The $$L^p$$-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
2015
General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term. Zbl 1360.35110
Liu, Wenjun; Zhu, Biqing; Li, Gang; Wang, Danhua
2017
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise. Zbl 1260.35128
Sakthivel, Kumarasamy; Sritharan, Sivaguru S.
2012
On the Muskat problem. Zbl 1351.35271
Prüss, Jan; Simonett, Gieri
2016
Recovery of time dependent volatility coefficient by linearization. Zbl 1291.35444
Isakov, Victor
2014
Global well-posedness and exponential stability for Kuznetsov’s equation in $$L_p$$-spaces. Zbl 1275.35126
Meyer, Stefan; Wilke, Mathias
2013
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
2013
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping. Zbl 1366.35185
Jorge da Silva, Marcio Antonio; Narciso, Vando
2017
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
2012
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
2013
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. Zbl 1431.35079
Signori, Andrea
2020
Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. Zbl 1381.34097
Fu, Xianlong
2017
Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Zbl 1339.35155
De Maio, Umberto; Nandakumaran, Akamabadath K.; Perugia, Carmen
2015
Heat conduction with memory: a singular kernel problem. Zbl 1304.45010
Carillo, Sandra; Valente, Vanda; Vergara Caffarelli, Giorgio
2014
Existence and asymptotic behaviour for solutions of dynamical equilibrium systems. Zbl 1288.37031
Chbani, Zaki; Riahi, Hassan
2014
Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036
2015
A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3-D fluid-structure interaction. Zbl 1302.35307
Avalos, George; Clark, Thomas J.
2014
Quasi-stability and exponential attractors for a non-gradient system – applications to piston-theoretic plates with internal damping. Zbl 1355.35027
Howell, Jason S.; Lasiecka, Irena; Webster, Justin T.
2016
Cross-like internal observability of rectangular membranes. Zbl 1284.35249
2014
Boundary approximate controllability of some linear parabolic systems. Zbl 1281.93024
Olive, Guillaume
2014
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
2012
On the 2D free boundary Euler equation. Zbl 1282.35286
2012
Sensitivity analysis for a free boundary fluid-elasticity interaction. Zbl 1259.93040
Bociu, Lorena; Zolésio, Jean-Paul
2013
Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 07003538
Triggiani, Roberto; Zhang, Jing
2018
Uniform stabilization of a multilayer Rao-Nakra sandwich beam. Zbl 1274.35405
Özer, A. Özkan; Hansen, Scott W.
2013
New methods for local solvability of quasilinear symmetric hyperbolic systems. Zbl 1346.35126
Mohan, Manil T.; Sritharan, Sivaguru S.
2016
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials. Zbl 1310.74012
Eleuteri, Michela; Lussardi, Luca
2014
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
2014
On a class of elliptic operators with unbounded diffusion coefficients. Zbl 1302.47071
Metafune, Giorgio; Spina, Chiara; Tacelli, Cristian
2014
Periodic solutions for time-dependent subdifferential evolution inclusions. Zbl 1372.34097
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2017
Optimal control for stochastic heat equation with memory. Zbl 1292.45003
Confortola, Fulvia; Mastrogiacomo, Elisa
2014
Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary Sobolev type equation. Zbl 1426.49007
Sagadeeva, Minzilia A.; Zagrebina, Sophiya A.; Manakova, Natalia A.
2019
Discontinuous solutions for the generalized short pulse equation. Zbl 1426.35083
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
2019
Energy methods for Hartree type equations with inverse-square potentials. Zbl 1282.35358
Suzuki, Toshiyuki
2013
On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. Zbl 1366.35235
Abdulla, Ugur G.; Cosgrove, Evan; Goldfarb, Jonathan
2017
Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation. Zbl 1337.93020
Gao, Peng
2015
Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation. Zbl 1433.35190
Boussaïd, Samira; Hilhorst, Danielle; Nguyen, Thanh Nam
2015
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
2016
Asymptotic for the perturbed heavy ball system with vanishing damping term. Zbl 1366.34070
Balti, Mounir; May, Ramzi
2017
Memory relaxation of type III thermoelastic extensible beams and Berger plates. Zbl 1262.35051
Dell’Oro, Filippo; Pata, Vittorino
2012
Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Zbl 1262.35038
Abdallah, Farah; Mercier, Denis; Nicaise, Serge
2013
Vibrations of a damped extensible beam between two stops. Zbl 1371.74162
Berti, Alessia; Naso, Maria Grazia
2013
Simultaneous stabilization of a system of interacting plate and membrane. Zbl 1259.93101
Tebou, Louis
2013
Periodic solutions for implicit evolution inclusions. Zbl 07116755
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Waves and diffusion on metric graphs with general vertex conditions. Zbl 07116756
Engel, Klaus-Jochen; Fijavž, Marjeta Kramar
2019
Avoiding degeneracy in the Westervelt equation by state constrained optimal control. Zbl 1269.49038
Clason, Christian; Kaltenbacher, Barbara
2013
A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024
Lewicka, Marta; Mucha, Piotr B.
2013
Stability problem for the age-dependent predator-prey model. Zbl 1408.35197
Dawidowicz, Antoni Leon; Poskrobko, Anna
2018
Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations. Zbl 1405.35007
Li, Yangrong; Wang, Renhai; She, Lianbing
2018
Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method. Zbl 1405.65111
Ruan, Zhousheng; Zhang, Sen; Xiong, Sican
2018
Optimal control of a diffusion/reaction/switching system. Zbl 1276.49004
Seidman, Thomas I.
2013
Null controllability for parabolic equations with dynamic boundary conditions. Zbl 1366.93058
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland
2017
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 07177440
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type. Zbl 1334.35113
Abid, Walid; Yafia, Radouane; Aziz-Alaoui, M. A.; Bouhafa, Habib; Abichou, Azgal
2015
Boundary feedback stabilization of a chain of serially connected strings. Zbl 1433.93104
Ammari, Kaïs; Mercier, Denis
2015
Continuous maximal regularity on singular manifolds and its applications. Zbl 1348.53048
Shao, Yuanzhen
2016
The stochastic linear quadratic optimal control problem in Hilbert spaces: a polynomial chaos approach. Zbl 1350.49019
Levajković, Tijana; Mena, Hermann; Tuffaha, Amjad
2016
Hölder-estimates for non-autonomous parabolic problems with rough data. Zbl 1353.35095
Rehberg, Joachim; Meinlschmidt, Hannes
2016
Observability of rectangular membranes and plates on small sets. Zbl 1354.74122
Komornik, Vilmos; Loreti, Paola
2014
On the viscoelastic coupled suspension bridge. Zbl 1304.35111
Bochicchio, Ivana; Giorgi, Claudio; Vuk, Elena
2014
On the nonlinear stability of ternary porous media via only one necessary and sufficient algebraic condition. Zbl 1305.76112
Rionero, Salvatore
2014
Indirect stabilization of hyperbolic systems through resolvent estimates. Zbl 1352.93083
Guglielmi, Roberto
2017
The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework. Zbl 1359.35162
Zhang, Jing
2017
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. II: The nonlinear system. Zbl 1281.93074
Court, Sébastien
2014
Solvability of $$p$$-Laplacian parabolic logistic equations with constraints coupled with Navier-Stokes equations in 2D domains. Zbl 1292.35241
Tsuzuki, Yutaka
2014
Semi-weak well-posedness and attractors for 2D Schrödinger-Boussinesq equations. Zbl 1282.35320
Chueshov, Igor; Shcherbina, Alexey
2012
Carleman estimates for elliptic boundary value problems with applications to the stabilization of hyperbolic systems. Zbl 1263.35089
Eller, Matthias; Toundykov, Daniel
2012
Stability of the anisotropic Maxwell equations with a conductivity term. Zbl 1428.35565
Eller, Matthias
2019
Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III. Zbl 1272.35039
2013
Traction, deformation and velocity of deformation in a viscoelastic string. Zbl 1282.35389
Pandolfi, Luciano
2013
Continuous data assimilation algorithm for simplified Bardina model. Zbl 1405.93121
Albanez, Débora A. F.; Benvenutti, Maicon J.
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
2018
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient. Zbl 1407.37125
Attouch, Hedy; Cabot, Alexandre; Chbani, Zaki; Riahi, Hassan
2018
Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control. Zbl 1405.93122
Chowdhury, Shirshendu; Mitra, Debanjana; Renardy, Michael
2018
Control of blow-up singularities for nonlinear wave equations. Zbl 1274.93034
2013
$$\mathbb{L}^p$$-solutions of the stochastic Navier-Stokes equations subject to Lévy noise with $$\mathbb{L}^m(\mathbb{R}^m)$$ initial data. Zbl 1366.76022
Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Sensitivity analysis in set-valued optimization under strictly minimal efficiency. Zbl 1366.90192
Peng, Zhenhua; Wan, Zhongping; Xiong, Weizhi
2017
Some problems of guaranteed control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1379.49037
Maksimov, Vyacheslav
2017
Funnel control for boundary control systems. Zbl 07396853
Puche, Marc; Reis, Timo; Schwenninger, Felix L.
2021
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. Zbl 1431.35079
Signori, Andrea
2020
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 07177440
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations. Zbl 1436.76008
Mohan, Manil T.
2020
Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation. Zbl 1463.45043
Barik, Prasanta Kumar
2020
Initial-boundary value problems for multi-term time-fractional diffusion equations with $$x$$-dependent coefficients. Zbl 1431.35231
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
2020
Tykhonov well-posedness of a viscoplastic contact problem. Zbl 1452.74086
Sofonea, Mircea; Xiao, Yi-bin
2020
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping. Zbl 1445.35067
Luo, Jun-Ren; Xiao, Ti-Jun
2020
On a Kirchhoff wave model with nonlocal nonlinear damping. Zbl 1442.35269
Narciso, Vando
2020
Null controllability for a heat equation with dynamic boundary conditions and drift terms. Zbl 1445.35197
Khoutaibi, Abdelaziz; Maniar, Lahcen
2020
Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints. Zbl 1439.35315
Sengouga, Abdelmouhcene
2020
Almost mixed semi-continuous perturbation of Moreau’s sweeping process. Zbl 1431.34026
Affane, Doria; Aissous, Meriem; Yarou, Mustapha Fateh
2020
On quasilinear parabolic equations and continuous maximal regularity. Zbl 1431.35085
LeCrone, Jeremy; Simonett, Gieri
2020
Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation. Zbl 1433.93016
Gao, Peng
2020
Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network. Zbl 1452.35147
Cerpa, Eduardo; Crépeau, Emmanuelle; Valein, Julie
2020
Remarks on the damped nonlinear Schrödinger equation. Zbl 1452.35194
Saanouni, Tarek
2020
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. Zbl 1452.35133
2020
Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay. Zbl 1467.34075
Li, Qiang; Wei, Mei
2020
On the management fourth-order Schrödinger-Hartree equation. Zbl 1452.35178
Banquet, Carlos; Villamizar-Roa, Élder J.
2020
Existence for a quasistatic variational-hemivariational inequality. Zbl 1455.35117
Peng, Zijia; Ma, Cuiming; Liu, Zhonghui
2020
Optimal scalar products in the Moore-Gibson-Thompson equation. Zbl 1426.35171
Pellicer, Marta; Solà-Morales, Joan
2019
Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary Sobolev type equation. Zbl 1426.49007
Sagadeeva, Minzilia A.; Zagrebina, Sophiya A.; Manakova, Natalia A.
2019
Discontinuous solutions for the generalized short pulse equation. Zbl 1426.35083
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
2019
Periodic solutions for implicit evolution inclusions. Zbl 07116755
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Waves and diffusion on metric graphs with general vertex conditions. Zbl 07116756
Engel, Klaus-Jochen; Fijavž, Marjeta Kramar
2019
Stability of the anisotropic Maxwell equations with a conductivity term. Zbl 1428.35565
Eller, Matthias
2019
Isogeometric shape optimization for nonlinear ultrasound focusing. Zbl 1423.35315
Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara; Wunderlich, Linus
2019
Scattering theory for semilinear Schrödinger equations with an inverse-square potential via energy methods. Zbl 1428.35539
Suzuki, Toshiyuki
2019
On a $$C$$-integrable equation for second sound propagation in heated dielectrics. Zbl 1430.35226
Christov, Ivan C.
2019
Discrete regularization. Zbl 1425.74251
Margolin, Len; Plesko, Catherine
2019
Traveling wave solutions to modified Burgers and diffusionless Fisher PDE’s. Zbl 1426.35065
Mickens, Ronald; Oyedeji, Kale
2019
Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252
Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin
2019
The cost of boundary controllability for a parabolic equation with inverse square potential. Zbl 1425.93045
Martinez, Patrick; Vancostenoble, Judith
2019
Decay rate of the Timoshenko system with one boundary damping. Zbl 1428.35578
Mercier, Denis; Régnier, Virginie
2019
A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid. Zbl 1423.35463
Disconzi, Marcelo M.; Kukavica, Igor
2019
Optimal control of evolution differential inclusions with polynomial linear differential operators. Zbl 1426.49003
Mahmudov, Elimhan N.
2019
Simultaneous controllability of two vibrating strings with variable coefficients. Zbl 1425.93035
Amara, Jamel Ben; Beldi, Emna
2019
Well-posedness and asymptotic behavior of the dissipative Ostrovsky equation. Zbl 1428.35469
Wang, Hongwei; Esfahani, Amin
2019
A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem. Zbl 1423.35468
Rabago, Julius Fergy T.; Azegami, Hideyuki
2019
Existence and extinction in finite time for Stratonovich gradient noise porous media equations. Zbl 1439.35593
Turra, Mattia
2019
Sliding mode control of the Hodgkin-Huxley mathematical model. Zbl 1423.35178
Cavaterra, Cecilia; Enăchescu, Denis; Marinoschi, Gabriela
2019
Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 07003538
Triggiani, Roberto; Zhang, Jing
2018
Stability problem for the age-dependent predator-prey model. Zbl 1408.35197
Dawidowicz, Antoni Leon; Poskrobko, Anna
2018
Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations. Zbl 1405.35007
Li, Yangrong; Wang, Renhai; She, Lianbing
2018
Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method. Zbl 1405.65111
Ruan, Zhousheng; Zhang, Sen; Xiong, Sican
2018
Continuous data assimilation algorithm for simplified Bardina model. Zbl 1405.93121
Albanez, Débora A. F.; Benvenutti, Maicon J.
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
2018
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient. Zbl 1407.37125
Attouch, Hedy; Cabot, Alexandre; Chbani, Zaki; Riahi, Hassan
2018
Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control. Zbl 1405.93122
Chowdhury, Shirshendu; Mitra, Debanjana; Renardy, Michael
2018
Robust Stackelberg controllability for linear and semilinear heat equations. Zbl 1405.49004
Hernández-Santamaría, Víctor; de Teresa, Luz
2018
Optimal control of second order delay-discrete and delay-differential inclusions with state constraints. Zbl 1407.49023
Mahmudov, Elimhan N.
2018
Optimal control for the stochastic Fitzhugh-Nagumo model with recovery variable. Zbl 1408.93148
Cordoni, Francesco; Di Persio, Luca
2018
The controllability of a thermoelastic plate problem revisited. Zbl 1405.93033
2018
Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics. Zbl 1404.35268
Colturato, Michele
2018
On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. Zbl 1415.35042
Ha, Tae Gab
2018
Energy decay for the damped wave equation on an unbounded network. Zbl 1407.35100
Assel, Rachid; Ghazel, Mohamed
2018
Existence and continuous-discrete asymptotic behaviour for Tikhonov-like dynamical equilibrium systems. Zbl 1407.37126
Balhag, Aicha; Chbani, Zaki; Riahi, Hassan
2018
Exact boundary controllability for the Boussinesq equation with variable coefficients. Zbl 1405.93035
Ben Amara, Jamel; Bouzidi, Hedi
2018
Control problems and invariant subspaces for sabra shell model of turbulence. Zbl 1405.35233
Biswas, Tania; Dharmatti, Sheetal
2018
Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications. Zbl 1405.35173
Gao, Peng
2018
Observability of wave equation with Ventcel dynamic condition. Zbl 1405.35103
Benabbas, Imen; Teniou, Djamel Eddine
2018
Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results. Zbl 1405.35203
Özer, Ahmet Özkan
2018
Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256
Lunasin, Evelyn; Titi, Edriss S.
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions. Zbl 06744040
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2017
General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term. Zbl 1360.35110
Liu, Wenjun; Zhu, Biqing; Li, Gang; Wang, Danhua
2017
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping. Zbl 1366.35185
Jorge da Silva, Marcio Antonio; Narciso, Vando
2017
Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. Zbl 1381.34097
Fu, Xianlong
2017
Periodic solutions for time-dependent subdifferential evolution inclusions. Zbl 1372.34097
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2017
On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. Zbl 1366.35235
Abdulla, Ugur G.; Cosgrove, Evan; Goldfarb, Jonathan
2017
Asymptotic for the perturbed heavy ball system with vanishing damping term. Zbl 1366.34070
Balti, Mounir; May, Ramzi
2017
Null controllability for parabolic equations with dynamic boundary conditions. Zbl 1366.93058
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland
2017
Indirect stabilization of hyperbolic systems through resolvent estimates. Zbl 1352.93083
Guglielmi, Roberto
2017
The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework. Zbl 1359.35162
Zhang, Jing
2017
$$\mathbb{L}^p$$-solutions of the stochastic Navier-Stokes equations subject to Lévy noise with $$\mathbb{L}^m(\mathbb{R}^m)$$ initial data. Zbl 1366.76022
Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Sensitivity analysis in set-valued optimization under strictly minimal efficiency. Zbl 1366.90192
Peng, Zhenhua; Wan, Zhongping; Xiong, Weizhi
2017
Some problems of guaranteed control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1379.49037
Maksimov, Vyacheslav
2017
Lumpability of linear evolution equations in Banach spaces. Zbl 1387.47026
Atay, Fatihcan M.; Roncoroni, Lavinia
2017
Asymptotic profile of solutions to the linearized double dispersion equation on the half space $$\mathbb{R}^{n}_+$$. Zbl 1377.35029
Su, Menglong; Chen, Si; Wang, Yu-Zhu
2017
Stability of ground states for logarithmic Schrödinger equation with a $$\delta'$$-interaction. Zbl 1364.35325
Ardila, Alex H.
2017
Optimal control for a hyperbolic problem in composites with imperfect interface: a memory effect. Zbl 1360.35014
Faella, Luisa; Perugia, Carmen
2017
Existence of periodic solution for a Cahn-Hilliard/Allen-Cahn equation in two space dimensions. Zbl 1360.35013
Liu, Changchun; Tang, Hui
2017
Viscoelastic plate equation with boundary feedback. Zbl 1360.35027
2017
A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains. Zbl 1369.49015
Zappale, Elvira
2017
The $$\varepsilon$$-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
Anguiano, María; Haraux, Alain
2017
Local exact controllability to trajectories of the magneto-micropolar fluid equations. Zbl 1366.93045
Anh, Cung The; Toi, Vu Manh
2017
Exact and approximate controllability of coupled one-dimensional hyperbolic equations. Zbl 1376.93021
Bennour, Abdelaziz; Khodja, Farid Ammar; Teniou, Djamel
2017
Exact controllability results for a class of abstract nonlocal Cauchy problem with impulsive conditions. Zbl 1379.93061
Rathinasamy, Poongodi; Rangasamy, Murugesu; Rajendran, Nirmalkumar
2017
Degeneracy in finite time of 1D quasilinear wave equations. II. Zbl 1379.35193
Sugiyama, Yuusuke
2017
Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions. Zbl 1349.35412
2016
On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation. Zbl 1364.35042
Domingos Cavalcanti, Valéria Neves; Lasiecka, Irena; Caixeta, Arthur Henrique
2016
On the Muskat problem. Zbl 1351.35271
Prüss, Jan; Simonett, Gieri
2016
Quasi-stability and exponential attractors for a non-gradient system – applications to piston-theoretic plates with internal damping. Zbl 1355.35027
Howell, Jason S.; Lasiecka, Irena; Webster, Justin T.
2016
New methods for local solvability of quasilinear symmetric hyperbolic systems. Zbl 1346.35126
Mohan, Manil T.; Sritharan, Sivaguru S.
2016
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
2016
Continuous maximal regularity on singular manifolds and its applications. Zbl 1348.53048
Shao, Yuanzhen
2016
The stochastic linear quadratic optimal control problem in Hilbert spaces: a polynomial chaos approach. Zbl 1350.49019
Levajković, Tijana; Mena, Hermann; Tuffaha, Amjad
2016
Hölder-estimates for non-autonomous parabolic problems with rough data. Zbl 1353.35095
Rehberg, Joachim; Meinlschmidt, Hannes
2016
The shape derivative for an optimization problem in lithotripsy. Zbl 1350.49064
Kaltenbacher, Barbara; Peichl, Gunther
2016
...and 121 more Documents
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#### Cited by 1,075 Authors

 19 Titi, Edriss Saleh 18 Lasiecka, Irena 13 Colli, Pierluigi 13 Sprekels, Jürgen 13 Zhou, Yong 12 Al-saedi, Ahmed Eid Salem 11 Ahmad, Bashir 11 Gilardi, Gianni 11 Mohan, Manil Thankamani 11 Saanouni, Tarek 10 Kaltenbacher, Barbara 10 Wang, Jinrong 9 Kukavica, Igor 8 Aouadi, Moncef 8 Benchohra, Mouffak 8 Jolly, Michael S. 8 Maniar, Lahcen 8 Nikolić, Vanja 8 Said-Houari, Belkacem 8 Tuffaha, Amjad M. 7 Avalos, George 7 Feng, Binhua 7 Pata, Vittorino 7 Signori, Andrea 6 Abbas, Said 6 Chen, Pengyu 6 Conti, Monica C. 6 Liu, Wenjun 6 Pandolfi, Luciano 6 Peng, Li 6 Prüß, Jan Wilhelm 6 Quintanilla de Latorre, Ramón 6 Simonett, Gieri 6 Sritharan, Sivaguru S. 6 Triggiani, Roberto 6 Vijayakumar, Velusamy 5 Abdulla, Ugur G. 5 Bociu, Lorena 5 Bucci, Francesca 5 Carillo, Sandra 5 Coclite, Giuseppe Maria 5 Di Ruvo, Lorenzo 5 Farhat, Aseel 5 Fridman, Emilia 5 Fursikov, Andreĭ Vladimirovich 5 Gal, Ciprian Gheorghe Sorin 5 Geredeli, Pelin Guven 5 Guesmia, Aissa 5 Jordan, Pedro M. 5 Kunisch, Karl 5 Li, Yangrong 5 Lunasin, Evelyn M. 5 Martinez, Vincent R. 5 Perugia, Carmen 5 Rajagopal, Kumbakonam Ramamani 5 Takahashi, Takéo 5 Toundykov, Daniel 5 Webster, Justin T. 5 Wilke, Mathias 5 Zhang, Xuping 5 Zwart, Hans J. 4 Chbani, Zaki 4 Chen, Zhijing 4 Debbouche, Amar 4 Disconzi, Marcelo Mendes 4 Faella, Luisa 4 Fernández, Jose Ramon 4 Fragnelli, Genni 4 Kang, Wen 4 Liu, Zhuangyi 4 Maity, Debayan 4 Manna, Utpal 4 Matioc, Bogdan-Vasile 4 Mena, Hermann 4 Mercier, Denis 4 Muha, Boris 4 Naso, Maria Grazia 4 Nyamoradi, Nemat 4 O’Regan, Donal 4 Papageorgiou, Nikolaos S. 4 Pellicer, Marta 4 Peralta, Gilbert R. 4 Riahi, Hassan 4 Scarpa, Luca 4 Seifert, David 4 Shao, Yuanzhen 4 Shibata, Yoshihiro 4 Shimizu, Senjo 4 Stefanelli, Ulisse 4 Straughan, Brian 4 Tacelli, Cristian 4 Tebou, Louis T. 4 Zhao, Chunxiang 3 Attouch, Hedy 3 Augner, Björn 3 Benabdallah, Assia 3 Berti, Alessia 3 Boutaayamou, Idriss 3 Boutiah, Sallah Eddine 3 Caixeta, Arthur Henrique ...and 975 more Authors
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#### Cited in 199 Journals

 60 Evolution Equations and Control Theory 44 Journal of Mathematical Analysis and Applications 41 Journal of Differential Equations 31 Journal of Evolution Equations 24 Applied Mathematics and Optimization 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Discrete and Continuous Dynamical Systems 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 SIAM Journal on Control and Optimization 14 Discrete and Continuous Dynamical Systems. Series B 12 Systems & Control Letters 12 Nonlinear Analysis. Real World Applications 12 Advances in Difference Equations 12 Discrete and Continuous Dynamical Systems. Series S 11 Applicable Analysis 11 SIAM Journal on Mathematical Analysis 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Mathematical Control and Related Fields 10 Journal of Mathematical Physics 10 Journal of Mathematical Fluid Mechanics 9 Archive for Rational Mechanics and Analysis 9 Computers & Mathematics with Applications 9 Journal of Optimization Theory and Applications 9 Communications on Pure and Applied Analysis 8 Applied Mathematics and Computation 8 Automatica 8 NoDEA. Nonlinear Differential Equations and Applications 8 Journal of Dynamical and Control Systems 7 Nonlinearity 6 Numerical Functional Analysis and Optimization 6 Applied Mathematics Letters 6 Asymptotic Analysis 6 Discrete Dynamics in Nature and Society 6 Boundary Value Problems 5 International Journal of Control 5 Inverse Problems 5 Mathematical Methods in the Applied Sciences 5 Wave Motion 5 Chaos, Solitons and Fractals 5 Journal of Computational and Applied Mathematics 5 Transactions of the American Mathematical Society 5 Optimization 5 Journal of Nonlinear Science 5 Journal of Inverse and Ill-Posed Problems 4 Meccanica 4 Ricerche di Matematica 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 European Journal of Control 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 International Journal of Applied Mathematics and Computer Science 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Advances in Nonlinear Analysis 3 Acta Mechanica 3 International Journal of Engineering Science 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Semigroup Forum 3 SIAM Journal on Numerical Analysis 3 Acta Applicandae Mathematicae 3 Physica D 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Optimization 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Calculus of Variations and Partial Differential Equations 3 Journal of Convex Analysis 3 Advanced Nonlinear Studies 3 Inverse Problems and Imaging 3 Mathematical Modelling of Natural Phenomena 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics 2 Calcolo 2 Integral Equations and Operator Theory 2 Journal of Functional Analysis 2 Stochastic Analysis and Applications 2 Bulletin of the Iranian Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 European Journal of Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Archives of Control Sciences 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 Fractional Calculus & Applied Analysis 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Differential Equations 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Fixed Point Theory and Applications 2 Networks and Heterogeneous Media ...and 99 more Journals
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#### Cited in 41 Fields

 601 Partial differential equations (35-XX) 230 Systems theory; control (93-XX) 155 Fluid mechanics (76-XX) 151 Mechanics of deformable solids (74-XX) 117 Ordinary differential equations (34-XX) 102 Operator theory (47-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 60 Numerical analysis (65-XX) 53 Dynamical systems and ergodic theory (37-XX) 39 Probability theory and stochastic processes (60-XX) 35 Integral equations (45-XX) 30 Biology and other natural sciences (92-XX) 29 Real functions (26-XX) 23 Classical thermodynamics, heat transfer (80-XX) 23 Operations research, mathematical programming (90-XX) 14 Functional analysis (46-XX) 11 Optics, electromagnetic theory (78-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 6 Geophysics (86-XX) 5 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)