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## Lorenzi, Alfredo

Compute Distance To:
 Author ID: lorenzi.alfredo Published as: Lorenzi, Alfredo; Lorenzi, A.
 Documents Indexed: 169 Publications since 1972, including 1 Book 3 Contributions as Editor Reviewing Activity: 186 Reviews Biographic References: 3 Publications
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#### Co-Authors

 39 single-authored 19 Favini, Angelo 13 Tanabe, Hiroki 12 Messina, Francesca 8 Colombo, Fabrizio 8 Paparoni, Eva 7 Denisov, Alexander Mikhailovich 7 Kabanikhin, Sergeĭ Igorevich 6 Guidetti, Davide 5 Di Blasio, Gabriella 5 Favaron, Alberto 5 Grasselli, Maurizio 5 Sinestrari, Eugenio 5 Vrabie, Ioan I. 4 Janno, Jaan 4 Rocca, Elisabetta 4 Romanov, Vladimir Gavrilovich 3 Lorenzi, Luca 3 Mola, Gianluca 3 Yagi, Atsushi 2 Anikonov, Yuriĭ Evgenievich 2 Cavaterra, Cecilia 2 Kaltenbacher, Barbara 2 Pagani, Carlo Domenico 2 Priimenko, Viatcheslav I. 2 Prilepko, Alekseĭ Ivanovich 2 Yakhno, Valery Georgievich 2 Yamamoto, Masahiro 1 Abasheeva, N. L. 1 Al-Horani, Mohammed 1 Alekseev, Alexander A. 1 Ayapbergenova, A. T. 1 Azamatov, J. S. 1 Bokalo, Mykola M. 1 Bozzo, Claude 1 Cassani, Daniele 1 Celada, Pietro 1 Di Barba, Paolo 1 Di Cristo, Michele 1 Ivanchov, Mykola I. 1 Karchevsky, Andrey Leonidovich 1 Lefter, Cătălin-George 1 Lunardi, Alessandra 1 Munteanu, Ionut 1 Priymenko, V. 1 Ramm, Alexander G. 1 Ruf, Bernhard 1 Saldina, N. V. 1 Schimperna, Giulio 1 Ulekova, Zh. Sh.
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#### Serials

 42 Journal of Inverse and Ill-Posed Problems 10 Applicable Analysis 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Differential and Integral Equations 7 Advances in Differential Equations 6 Inverse Problems 5 Journal of Mathematical Analysis and Applications 5 Rendiconti del Seminario Matematico della Università di Padova 3 Zeitschrift für Analysis und ihre Anwendungen 3 Bollettino della Unione Matemàtica Italiana. Serie VII. B 3 Discrete and Continuous Dynamical Systems 3 Inverse Problems and Imaging 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applied Mathematics and Optimization 2 Le Matematiche 2 Osaka Journal of Mathematics 2 Advances in Mathematical Sciences and Applications 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Functional Analysis and Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Milan Journal of Mathematics 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Abstract Differential Equations and Applications (JADEA) 1 Mathematical Methods in the Applied Sciences 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Dynamic Systems and Applications 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Acta Mathematica Scientia 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Lecture Notes in Pure and Applied Mathematics 1 Inverse and Ill-Posed Problems Series 1 Evolution Equations and Control Theory 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 107 Partial differential equations (35-XX) 102 Integral equations (45-XX) 28 Ordinary differential equations (34-XX) 25 Operator theory (47-XX) 20 Mechanics of deformable solids (74-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Functions of a complex variable (30-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

118 Publications have been cited 558 times in 324 Documents Cited by Year
An inverse problem in the theory of materials with memory. Zbl 0673.45010
Lorenzi, A.; Sinestrari, E.
1988
Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I. Zbl 0892.45006
Colombo, F.; Lorenzi, A.
1997
On elliptic equations with piecewise constant coefficients. II. Zbl 0252.35019
Lorenzi, A.
1972
An inverse hyperbolic integrodifferential problem arising in geophysics. II. Zbl 0724.45014
Grasselli, M.; Kabanikhin, S. I.; Lorenzi, A.
1990
An inverse problem for a semilinear parabolic equation. Zbl 0493.35078
Lorenzi, A.
1982
Direct and inverse problems in the theory of materials with memory. Zbl 0757.73018
Lorenzi, A.; Paparoni, E.
1992
Recovering a Lamé kernel in a viscoelastic system. Zbl 1148.45013
Lorenzi, Alfredo; Messina, Francesca; Romanov, Vladimir G.
2007
Identification problems for singular integro-differential equations of parabolic type. II. Zbl 1048.45009
Favini, Angelo; Lorenzi, Alfredo
2004
Identification problems of wave phenomena. Theory and numerics. Zbl 0947.65147
Kabanikhin, S. I.; Lorenzi, A.
2000
On elliptic equations with piecewise constant coefficients. Zbl 0228.35031
Lorenzi, Alfredo
1972
Direct and inverse problems related to MEMS. Zbl 1180.35550
Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo
2009
Identification problems for parabolic delay differential equations with measurement on the boundary. Zbl 1132.35388
Di Blasio, G.; Lorenzi, A.
2007
A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation. Zbl 1182.45006
Cavaterra, Cecilia; Lorenzi, Alfredo; Yamamoto, Masahiro
2006
An identification problem related to a nonlinear hyperbolic integro- differential equation. Zbl 0818.93014
Lorenzi, A.
1994
Identification problems related to electro-magneto-elastic interactions. Zbl 0856.35132
Lorenzi, A.; Priimenko, V. I.
1996
Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II. Zbl 0892.45007
Colombo, F.; Lorenzi, A.
1997
Singular integro-differential equations of parabolic type and inverse problems. Zbl 1059.45010
Favini, A.; Lorenzi, A.
2003
An $$L^p$$-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2005
Recovering two Lamé kernels in a viscoelastic system. Zbl 1251.74007
2011
An inverse problem arising in the theory of absorption. Zbl 0675.35087
Lorenzi, Alfredo; Paparoni, Eva
1990
Direct and inverse degenerate parabolic differential equations with multi-valued operators. Zbl 1327.35467
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2015
An inverse hyperbolic integrodifferential problem arising in geophysics. Zbl 0787.45006
Grasselli, M.; Kabanikhin, S. I.; Lorenzi, A.
1992
On a special Volterra integral equation of the first kind. Zbl 0846.45001
Denisov, A. M.; Lorenzi, A.
1995
Identification problems for singular integro-differential equations of parabolic type I. Zbl 1081.45006
Favini, Angelo; Lorenzi, Alfredo
2005
Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072
Lorenzi, A.; Rocca, E.
2008
Recovering memory kernels in parabolic transmission problems. Zbl 1158.45008
Janno, J.; Lorenzi, A.
2008
Singular integro-differential equations of parabolic type. Zbl 1033.45010
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2002
An inverse problem in the theory of combustion of materials with memory. Zbl 0958.35145
Colombo, F.; Lorenzi, A.
1998
Identification problems for pseudoparabolic integrodifferential operator equations. Zbl 0882.45008
Lorenzi, A.; Paparoni, E.
1997
Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains. Zbl 1161.45312
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
Identification of a real constant in linear evolution equations in Hilbert spaces. Zbl 1229.35131
Lorenzi, Alfredo; Mola, Gianluca
2011
Abstract nonlinear Volterra integrodifferential equations with nonsmooth kernels. Zbl 0819.45006
Grasselli, Maurizio; Lorenzi, Alfredo
1991
Identification of an electromagnetic coefficient connected with deformation currents. Zbl 0771.35079
Lorenzi, A.; Romanov, V. G.
1993
Fredholm-type results for integrodifferential identification parabolic problems. Zbl 0820.35140
Lorenzi, A.; Prilepko, A.
1993
On applications of maximal regularity to inverse problems for integrodifferential equations of parabolic type. Zbl 1041.45016
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
Inverse and direct problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Zbl 1106.45302
Lorenzi, Alfredo; Tanabe, Hiroki
2006
Abstract parabolic equations with applications to problems in cylindrical space domains. Zbl 1207.35201
Di Cristo, Michele; Guidetti, Davide; Lorenzi, Alfredo
2010
Identification for a semilinear evolution equation in a Banach space. Zbl 1205.34072
Lorenzi, Alfredo; Vrabie, Ioan I.
2010
Recovering the reaction and the diffusion coefficients in a linear parabolic equation. Zbl 1254.35245
Lorenzi, Alfredo; Mola, Gianluca
2012
Determination of a time-dependent coefficient in a quasi-linear parabolic equation. Zbl 0564.35094
Lorenzi, Alfredo
1983
An inverse problem for an integro-differential equation. Zbl 0771.45006
Grasselli, M.; Kabanikhin, S. I.; Lorenzi, A.
1992
A parabolic integro-differential identification problem in a barrelled smooth domain. Zbl 1097.45015
Janno, J.; Lorenzi, A.
2006
Identification problems for integrodifferential equations. Zbl 0785.45008
Lorenzi, A.
1992
An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators. Zbl 0972.35179
Colombo, F.; Lorenzi, A.
2000
An identification problem for a conserved phase-field model with memory. Zbl 1085.45010
Lorenzi, A.
2005
Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: $$L^2$$-theory. Zbl 1166.45003
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2009
An identification problem with evolution on the boundary of parabolic type. Zbl 1187.45013
Lorenzi, Alfredo; Messina, Francesca
2008
Linear first-order evolution problems without initial conditions. Zbl 1205.35027
Bokalo, Mykola; Lorenzi, Alfredo
2009
Explicit representation for the solution to a parabolic differential identification problem in a Banach space. Zbl 1132.35386
Anikonov, Yu. E.; Lorenzi, A.
2007
Stability estimates for an inverse problem related to viscoelastic media. Zbl 1097.45016
Lorenzi, A.; Romanov, V. G.
2006
Identification of unknown terms in convolution integro-differential equations in a Banach space. Zbl 1279.45015
Lorenzi, Alfredo; Mola, Gianluca
2010
Direct and inverse problems for systems of singular differential boundary-value problems. Zbl 1286.35264
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2012
A magneto-thermo-elastic identification problem with a moving boundary in a micro-device. Zbl 1291.35440
Di Barba, Paolo; Lorenzi, Alfredo
2013
Parabolic integro-differential identification problems related to memory kernels with special symmetries. Zbl 1044.45005
Favaron, A.; Lorenzi, A.
2003
Global existence results for first-order integrodifferential identification problems. Zbl 0879.45006
Lorenzi, Alfredo; Prilepko, Aleksey Ivanovic
1996
Integro-differential identification problems for the heat equation in cylindrical domains. Zbl 1103.35367
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
Degenerate integrodifferential equations of parabolic type. Zbl 1106.45301
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2006
Direct and inverse problems in age-structured population diffusion. Zbl 1209.35149
Di Blasio, Gabriella; Lorenzi, Alfredo
2011
An identification problem for a linear evolution equation in a Banach space and applications. Zbl 1217.35213
Lorenzi, Alfredo; Vrabie, Ioan I.
2011
An inverse problem for a first-order nonlinear ordinary differential equation. Zbl 0821.34012
Denisov, A. M.; Lorenzi, A.
1993
An inverse problem for a quasilinear parabolic equation. Zbl 0604.35075
Lorenzi, A.
1985
A mixed problem for the Laplace equation in a right angle with an oblique derivative given on a side of the angle. Zbl 0289.35024
Lorenzi, Alfredo
1974
Recovering an unknown coefficient in an absorption model with diffusion. Zbl 1126.35093
Denisov, A. M.; Lorenzi, A.
2007
A uniqueness result for a nonlinear hyperbolic equation. Zbl 1147.35111
Kaltenbacher, Barbara; Lorenzi, Alfredo
2007
Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: $$L^{p}$$-theory. Zbl 1352.45012
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2017
Recovering a leading coefficient and a memory kernel in first-order integro-differential operator equations. Zbl 1059.47054
Favaron, Alberto; Lorenzi, Alfredo
2003
Recovering a constant in a strongly ill-posed integrodifferential parabolic problem. Zbl 1330.35538
Lorenzi, Alfredo
2012
An identification problem for a semilinear evolution delay equation. Zbl 1288.34069
Lorenzi, Alfredo; Vrabie, Ioan I.
2014
First-order regular and degenerate identification differential problems. Zbl 1470.34052
Favini, A.; Lorenzi, A.; Tanabe, H.
2015
Direct and inverse integrodifferential Maxwell problems for dispersive media related to cylindrical domains. Zbl 0835.45007
Lorenzi, A.
1995
An identification problem related to an isotropic nonhomogeneous stratified viscoelastic cylindrical body. Zbl 0873.35109
Lorenzi, A.; Yakhno, V. G.
1997
Existence results and regularization techniques for severely ill-posed integrofunctional equations. Zbl 0882.45013
Denisov, A. M.; Lorenzi, A.
1997
Identification problems for integro-differential delay equations. Zbl 1074.35044
Di Blasio, Gabriella; Lorenzi, Alfredo
2003
Linear integro-differential Schrödinger and plate problems without initial conditions. Zbl 1283.35139
Lorenzi, Alfredo
2013
Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004
Lorenzi, Alfredo; Rocca, Elisabetta
2007
Second-order degenerate identification differential problems. Zbl 1165.49013
Al Horani, M.; Favini, A.; Lorenzi, A.
2009
An identification problem in age-dependent population diffusion. Zbl 1260.35237
Di Blasio, Gabriella; Lorenzi, Alfredo
2013
A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain $$\Omega \times \mathcal O$$ of $$\mathbb R^{M+N}$$. Zbl 1264.35274
Lorenzi, A.; Lorenzi, L.
2013
Identification of two unknown coefficients in an integrodifferential hyperbolic equation. Zbl 0817.35127
Lorenzi, A.; Paparoni, E.
1993
Singular evolution integro-differential equations with kernels defined on bounded intervals. Zbl 1085.45008
Favini, A.; Lorenzi, A.; Tanabe, H.
2005
An inverse spectral problem for a nonlinear ordinary differential equation. Zbl 0727.34013
Lorenzi, A.
1992
An inverse spectral problem for a nonlinear ordinary differential equation. Zbl 0788.34006
Lorenzi, Alfredo
1992
Identification of nonlinear terms in boundary value problems related to ordinary differential equations. Zbl 0765.34014
Denisov, A.; Lorenzi, A.
1992
Stability results for a partial integrodifferential inverse problem. Zbl 0673.45011
Lorenzi, A.; Sinestrari, E.
1989
An inverse problem for an abstract nonlinear parabolic integrodifferential equation. Zbl 0786.45014
Grasselli, Maurizio; Lorenzi, Alfredo
1993
A mixed boundary value problem for the Laplace equation in an angle. I. Zbl 0345.35037
Lorenzi, Alfredo
1976
Solving a scalar degenerate multidimensional identification problem in a Banach space. Zbl 1154.35091
Ivanchov, M.; Lorenzi, A.; Saldina, N.
2008
Direct problems for poroelastic waves with fractional derivatives. Zbl 1299.76261
Lorenzi, Alfredo; Priimenko, Viatcheslav
2014
Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case. Zbl 1279.35108
Janno, Jaan; Lorenzi, Alfredo
2010
Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications. Zbl 1279.35117
Lorenzi, Alfredo
2012
Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem. Zbl 1279.35118
Lorenzi, Alfredo; Messina, Francesca
2012
Mixed boundary value problems for nonvariational elliptic equations on a polygon. Zbl 0401.35040
Lorenzi, Alfredo
1978
Identifying a $$BV$$-kernel in a hyperbolic integrodifferential equation. Zbl 1158.45009
Lorenzi, Alfredo; Sinestrari, Eugenio
2008
Pseudoparabolic integrodifferential identification problems at resonance in Hilbert spaces. Zbl 0929.35175
Lorenzi, A.
1998
Recovering degenerate kernels in hyperbolic integro-differential equations. Zbl 1009.45014
Janno, J.; Lorenzi, A.
2002
An inverse problem in potential theory. Zbl 0488.31002
Lorenzi, A.; Pagani, C. D.
1981
Approximation of solutions to linear integro-differential parabolic equations in $$L^{p}$$-spaces. Zbl 1206.45012
Lorenzi, Alfredo; Messina, Francesca
2007
Approximate controllability for an integro-differential control problem. Zbl 1248.35092
Lefter, Cătălin-George; Lorenzi, Alfredo
2012
An identification problem for a nonlinear evolution equation in a Banach space. Zbl 1250.35070
Lorenzi, Alfredo; Vrabie, Ioan I.
2012
Lavrent’ev regularization of solutions to linear integrodifferential inverse problems. Zbl 0821.65091
Kabanikhin, S. I.; Karchevskij, A. L.; Lorenzi, A.
1993
Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: $$L^{p}$$-theory. Zbl 1352.45012
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2017
Direct and inverse degenerate parabolic differential equations with multi-valued operators. Zbl 1327.35467
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2015
First-order regular and degenerate identification differential problems. Zbl 1470.34052
Favini, A.; Lorenzi, A.; Tanabe, H.
2015
An identification problem for a semilinear evolution delay equation. Zbl 1288.34069
Lorenzi, Alfredo; Vrabie, Ioan I.
2014
Direct problems for poroelastic waves with fractional derivatives. Zbl 1299.76261
Lorenzi, Alfredo; Priimenko, Viatcheslav
2014
A strongly ill-posed integrodifferential singular parabolic problem in the unit cube of $$\mathbb{R}^n$$. Zbl 1375.35637
Lorenzi, Alfredo; Lorenzi, Luca
2014
A general approach to identification problems. Zbl 1391.35415
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2014
Recovering a constant in the two-dimensional Navier-Stokes system with no initial condition. Zbl 1304.35497
Lorenzi, Alfredo; Munteanu, Ionuţ
2014
A magneto-thermo-elastic identification problem with a moving boundary in a micro-device. Zbl 1291.35440
Di Barba, Paolo; Lorenzi, Alfredo
2013
Linear integro-differential Schrödinger and plate problems without initial conditions. Zbl 1283.35139
Lorenzi, Alfredo
2013
An identification problem in age-dependent population diffusion. Zbl 1260.35237
Di Blasio, Gabriella; Lorenzi, Alfredo
2013
A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain $$\Omega \times \mathcal O$$ of $$\mathbb R^{M+N}$$. Zbl 1264.35274
Lorenzi, A.; Lorenzi, L.
2013
A strongly ill-posed integro-differential parabolic problem with integral boundary conditions. Zbl 1302.35447
Lorenzi, Alfredo
2013
Severely ill-posed linear parabolic integro-differential problems. Zbl 1274.35430
Lorenzi, Alfredo
2013
Recovering the reaction and the diffusion coefficients in a linear parabolic equation. Zbl 1254.35245
Lorenzi, Alfredo; Mola, Gianluca
2012
Direct and inverse problems for systems of singular differential boundary-value problems. Zbl 1286.35264
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2012
Recovering a constant in a strongly ill-posed integrodifferential parabolic problem. Zbl 1330.35538
Lorenzi, Alfredo
2012
Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications. Zbl 1279.35117
Lorenzi, Alfredo
2012
Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem. Zbl 1279.35118
Lorenzi, Alfredo; Messina, Francesca
2012
Approximate controllability for an integro-differential control problem. Zbl 1248.35092
Lefter, Cătălin-George; Lorenzi, Alfredo
2012
An identification problem for a nonlinear evolution equation in a Banach space. Zbl 1250.35070
Lorenzi, Alfredo; Vrabie, Ioan I.
2012
Recovering two Lamé kernels in a viscoelastic system. Zbl 1251.74007
2011
Identification of a real constant in linear evolution equations in Hilbert spaces. Zbl 1229.35131
Lorenzi, Alfredo; Mola, Gianluca
2011
Direct and inverse problems in age-structured population diffusion. Zbl 1209.35149
Di Blasio, Gabriella; Lorenzi, Alfredo
2011
An identification problem for a linear evolution equation in a Banach space and applications. Zbl 1217.35213
Lorenzi, Alfredo; Vrabie, Ioan I.
2011
Abstract parabolic equations with applications to problems in cylindrical space domains. Zbl 1207.35201
Di Cristo, Michele; Guidetti, Davide; Lorenzi, Alfredo
2010
Identification for a semilinear evolution equation in a Banach space. Zbl 1205.34072
Lorenzi, Alfredo; Vrabie, Ioan I.
2010
Identification of unknown terms in convolution integro-differential equations in a Banach space. Zbl 1279.45015
Lorenzi, Alfredo; Mola, Gianluca
2010
Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case. Zbl 1279.35108
Janno, Jaan; Lorenzi, Alfredo
2010
Direct and inverse problems related to MEMS. Zbl 1180.35550
Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo
2009
Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: $$L^2$$-theory. Zbl 1166.45003
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2009
Linear first-order evolution problems without initial conditions. Zbl 1205.35027
Bokalo, Mykola; Lorenzi, Alfredo
2009
Second-order degenerate identification differential problems. Zbl 1165.49013
Al Horani, M.; Favini, A.; Lorenzi, A.
2009
Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072
Lorenzi, A.; Rocca, E.
2008
Recovering memory kernels in parabolic transmission problems. Zbl 1158.45008
Janno, J.; Lorenzi, A.
2008
An identification problem with evolution on the boundary of parabolic type. Zbl 1187.45013
Lorenzi, Alfredo; Messina, Francesca
2008
Solving a scalar degenerate multidimensional identification problem in a Banach space. Zbl 1154.35091
Ivanchov, M.; Lorenzi, A.; Saldina, N.
2008
Identifying a $$BV$$-kernel in a hyperbolic integrodifferential equation. Zbl 1158.45009
Lorenzi, Alfredo; Sinestrari, Eugenio
2008
An $$L^p$$-approach to singular linear parabolic equations with lower order terms. Zbl 1157.35410
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2008
A degenerate parabolic identification problem: The Hilbertian case. Zbl 1152.35517
Lorenzi, A.
2008
Recovering a Lamé kernel in a viscoelastic system. Zbl 1148.45013
Lorenzi, Alfredo; Messina, Francesca; Romanov, Vladimir G.
2007
Identification problems for parabolic delay differential equations with measurement on the boundary. Zbl 1132.35388
Di Blasio, G.; Lorenzi, A.
2007
Explicit representation for the solution to a parabolic differential identification problem in a Banach space. Zbl 1132.35386
Anikonov, Yu. E.; Lorenzi, A.
2007
Recovering an unknown coefficient in an absorption model with diffusion. Zbl 1126.35093
Denisov, A. M.; Lorenzi, A.
2007
A uniqueness result for a nonlinear hyperbolic equation. Zbl 1147.35111
Kaltenbacher, Barbara; Lorenzi, Alfredo
2007
Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004
Lorenzi, Alfredo; Rocca, Elisabetta
2007
Approximation of solutions to linear integro-differential parabolic equations in $$L^{p}$$-spaces. Zbl 1206.45012
Lorenzi, Alfredo; Messina, Francesca
2007
Gradient estimates for solutions of parabolic differential equations degenerating at infinity. Zbl 1152.35013
Favaron, Alberto; Lorenzi, Alfredo
2007
A mixed type identification problem related to a phase-field model with memory. Zbl 1133.35106
Guidetti, Davide; Lorenzi, Alfredo
2007
A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation. Zbl 1182.45006
Cavaterra, Cecilia; Lorenzi, Alfredo; Yamamoto, Masahiro
2006
Inverse and direct problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Zbl 1106.45302
Lorenzi, Alfredo; Tanabe, Hiroki
2006
A parabolic integro-differential identification problem in a barrelled smooth domain. Zbl 1097.45015
Janno, J.; Lorenzi, A.
2006
Stability estimates for an inverse problem related to viscoelastic media. Zbl 1097.45016
Lorenzi, A.; Romanov, V. G.
2006
Degenerate integrodifferential equations of parabolic type. Zbl 1106.45301
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2006
An $$L^p$$-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2005
Identification problems for singular integro-differential equations of parabolic type I. Zbl 1081.45006
Favini, Angelo; Lorenzi, Alfredo
2005
An identification problem for a conserved phase-field model with memory. Zbl 1085.45010
Lorenzi, A.
2005
Singular evolution integro-differential equations with kernels defined on bounded intervals. Zbl 1085.45008
Favini, A.; Lorenzi, A.; Tanabe, H.
2005
Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007
Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio
2005
Identification problems for nonclassical integro-differential parabolic equations. Zbl 1097.45013
Abasheeva, N.; Lorenzi, A.
2005
Identification problems for singular integro-differential equations of parabolic type. II. Zbl 1048.45009
Favini, Angelo; Lorenzi, Alfredo
2004
Singular integro-differential equations of parabolic type and inverse problems. Zbl 1059.45010
Favini, A.; Lorenzi, A.
2003
Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains. Zbl 1161.45312
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
On applications of maximal regularity to inverse problems for integrodifferential equations of parabolic type. Zbl 1041.45016
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
Parabolic integro-differential identification problems related to memory kernels with special symmetries. Zbl 1044.45005
Favaron, A.; Lorenzi, A.
2003
Integro-differential identification problems for the heat equation in cylindrical domains. Zbl 1103.35367
Colombo, Fabrizio; Guidetti, Davide; Lorenzi, Alfredo
2003
Recovering a leading coefficient and a memory kernel in first-order integro-differential operator equations. Zbl 1059.47054
Favaron, Alberto; Lorenzi, Alfredo
2003
Identification problems for integro-differential delay equations. Zbl 1074.35044
Di Blasio, Gabriella; Lorenzi, Alfredo
2003
Singular integro-differential equations of parabolic type. Zbl 1033.45010
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki
2002
Recovering degenerate kernels in hyperbolic integro-differential equations. Zbl 1009.45014
Janno, J.; Lorenzi, A.
2002
Identification problems of wave phenomena. Theory and numerics. Zbl 0947.65147
Kabanikhin, S. I.; Lorenzi, A.
2000
An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators. Zbl 0972.35179
Colombo, F.; Lorenzi, A.
2000
An inverse problem in the theory of combustion of materials with memory. Zbl 0958.35145
Colombo, F.; Lorenzi, A.
1998
Pseudoparabolic integrodifferential identification problems at resonance in Hilbert spaces. Zbl 0929.35175
Lorenzi, A.
1998
Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I. Zbl 0892.45006
Colombo, F.; Lorenzi, A.
1997
Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II. Zbl 0892.45007
Colombo, F.; Lorenzi, A.
1997
Identification problems for pseudoparabolic integrodifferential operator equations. Zbl 0882.45008
Lorenzi, A.; Paparoni, E.
1997
An identification problem related to an isotropic nonhomogeneous stratified viscoelastic cylindrical body. Zbl 0873.35109
Lorenzi, A.; Yakhno, V. G.
1997
Existence results and regularization techniques for severely ill-posed integrofunctional equations. Zbl 0882.45013
Denisov, A. M.; Lorenzi, A.
1997
Identification problems related to electro-magneto-elastic interactions. Zbl 0856.35132
Lorenzi, A.; Priimenko, V. I.
1996
Global existence results for first-order integrodifferential identification problems. Zbl 0879.45006
Lorenzi, Alfredo; Prilepko, Aleksey Ivanovic
1996
On a special Volterra integral equation of the first kind. Zbl 0846.45001
Denisov, A. M.; Lorenzi, A.
1995
Direct and inverse integrodifferential Maxwell problems for dispersive media related to cylindrical domains. Zbl 0835.45007
Lorenzi, A.
1995
An identification problem related to a nonlinear hyperbolic integro- differential equation. Zbl 0818.93014
Lorenzi, A.
1994
An inverse problem in viscoelasticity. Zbl 0822.35151
Lorenzi, A.; Ulekova, Zh. Sh.; Yakhno, V. G.
1994
A duality approach for solving identification problems related to integrodifferential Maxwell’s equations. Zbl 0804.45006
Lorenzi, A.; Priymenko, V.
1994
Identification of an electromagnetic coefficient connected with deformation currents. Zbl 0771.35079
Lorenzi, A.; Romanov, V. G.
1993
Fredholm-type results for integrodifferential identification parabolic problems. Zbl 0820.35140
Lorenzi, A.; Prilepko, A.
1993
An inverse problem for a first-order nonlinear ordinary differential equation. Zbl 0821.34012
Denisov, A. M.; Lorenzi, A.
1993
Identification of two unknown coefficients in an integrodifferential hyperbolic equation. Zbl 0817.35127
Lorenzi, A.; Paparoni, E.
1993
An inverse problem for an abstract nonlinear parabolic integrodifferential equation. Zbl 0786.45014
Grasselli, Maurizio; Lorenzi, Alfredo
1993
Lavrent’ev regularization of solutions to linear integrodifferential inverse problems. Zbl 0821.65091
Kabanikhin, S. I.; Karchevskij, A. L.; Lorenzi, A.
1993
Direct and inverse problems in the theory of materials with memory. Zbl 0757.73018
Lorenzi, A.; Paparoni, E.
1992
An inverse hyperbolic integrodifferential problem arising in geophysics. Zbl 0787.45006
Grasselli, M.; Kabanikhin, S. I.; Lorenzi, A.
1992
An inverse problem for an integro-differential equation. Zbl 0771.45006
Grasselli, M.; Kabanikhin, S. I.; Lorenzi, A.
1992
Identification problems for integrodifferential equations. Zbl 0785.45008
Lorenzi, A.
1992
An inverse spectral problem for a nonlinear ordinary differential equation. Zbl 0727.34013
Lorenzi, A.
1992
An inverse spectral problem for a nonlinear ordinary differential equation. Zbl 0788.34006
Lorenzi, Alfredo
1992
Identification of nonlinear terms in boundary value problems related to ordinary differential equations. Zbl 0765.34014
Denisov, A.; Lorenzi, A.
1992
Abstract nonlinear Volterra integrodifferential equations with nonsmooth kernels. Zbl 0819.45006
Grasselli, Maurizio; Lorenzi, Alfredo
1991
...and 18 more Documents
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#### Cited by 297 Authors

 43 Lorenzi, Alfredo 23 Favini, Angelo 17 Denisov, Alexander Mikhailovich 12 Al-Horani, Mohammed 12 Guidetti, Davide 10 Durdiev, Durdimurod Kalandarovich 10 Yamamoto, Masahiro 9 Ashyralyev, Allaberen 9 Janno, Jaan 9 Romanov, Vladimir Gavrilovich 9 Tanabe, Hiroki 8 Colombo, Fabrizio 8 Slodička, Marián 7 Dong, Hongjie 7 Kim, Doyoon 7 Totieva, Zhanna Dmitrievna 7 Vishnevskii, Mikhail P. 7 Wu, Bin 6 Priimenko, Viatcheslav I. 5 Carillo, Sandra 5 Erdogan, Abdullah Said 5 Fëdorov, Vladimir Evgen’evich 5 Grasselli, Maurizio 5 Lyubanova, Anna Sh. 4 Awawdeh, Fadi 4 Brunner, Hermann 4 De Staelen, Rob H. 4 Favaron, Alberto 4 Imanuvilov, Oleg Yu. 4 Kabanikhin, Sergeĭ Igorevich 4 Sidorov, Denis Nikolaevich 3 Bokalo, Mykola M. 3 Cassani, Daniele 3 Fabrizio, Mauro 3 Ivanchov, Mykola I. 3 Krylov, Nicolaĭ Vladimirovich 3 Lorenzi, Luca 3 Messina, Francesca 3 Mola, Gianluca 3 Pandolfi, Luciano 3 Ponce, Rodrigo F. 3 Protsakh, Nataliya P. 3 Rundell, William 3 Schuster, Thomas 3 Solov’eva, S. I. 3 van Bockstal, Karel 3 Wu, Siyuan 2 Anikonov, Yuriĭ Evgenievich 2 Ashyraliyev, Maksat 2 Balachandran, Krishnan 2 Baranibalan, N. 2 Chiti, Giuseppe 2 Di Barba, Paolo 2 Di Blasio, Gabriella 2 Durdiev, Umidzhan Durdimuratovich 2 Efimov, Alexander A. 2 Fattorusso, Luisa 2 Hömberg, Dietmar 2 Ivanova, Natalia Dmitrievna 2 Josien, Marc 2 Kaltenbacher, Barbara 2 Kamimura, Yutaka 2 Kostić, Marko 2 Kozhanov, Aleksandr Ivanovich 2 Kurkcu, Omur Kivanc 2 Lamos, H. 2 Lesnic, Daniel 2 Li, Gongsheng 2 Lu, Shuai 2 Nakamura, Gen 2 Paparoni, Eva 2 Prilepko, Alekseĭ Ivanovich 2 Rostami, Yaser 2 Sakthivel, Kumarasamy 2 Schiera, Delia 2 Šeliga, Lukáš 2 Sezer, Mehmet 2 Sidorov, Nikolaĭ Aleksandrovich 2 Tani, Atusi 2 Tarsia, Antonio 2 Thomée, Vidar 2 Valente, Vanda 2 Vergara Caffarelli, Giorgio 2 Versaci, Mario 2 von Wolfersdorf, Lothar 2 Vrabie, Ioan I. 2 Wahlbin, Lars B. 2 Wang, Zewen 1 Abasheeva, N. L. 1 Abu-Falahah, Ibraheem 1 Aizicovici, Sergiu 1 Alam, Md. Mansur 1 Allouba, Hassan 1 Alomari, A. K. 1 Angiulli, Giovanni 1 Aparicio, Rafael 1 Ashyralyyeva, Maral Allaberenovna 1 Aslan, Ersin 1 Atamanov, Eh. R. 1 Avantaggiati, Antonio ...and 197 more Authors
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#### Cited in 113 Serials

 24 Journal of Inverse and Ill-Posed Problems 20 Journal of Mathematical Analysis and Applications 16 Differential Equations 12 Siberian Mathematical Journal 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Applicable Analysis 8 Computational Mathematics and Modeling 7 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Zeitschrift für Analysis und ihre Anwendungen 6 Abstract and Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series S 5 Inverse Problems 5 Mathematical Notes 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 5 Rendiconti del Seminario Matematico della Università di Padova 5 Computational and Applied Mathematics 5 Evolution Equations and Control Theory 4 Journal of Optimization Theory and Applications 4 Numerical Functional Analysis and Optimization 4 Journal of Mathematical Sciences (New York) 4 Doklady Mathematics 4 Mediterranean Journal of Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 3 Ukrainian Mathematical Journal 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Applied Numerical Mathematics 3 Journal of Integral Equations and Applications 3 Computational Mathematics and Mathematical Physics 3 Communications in Partial Differential Equations 3 Fractional Calculus & Applied Analysis 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Inverse Problems in Science and Engineering 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Physics 2 Meccanica 2 Semigroup Forum 2 Transactions of the American Mathematical Society 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Journal of Dynamical and Control Systems 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Milan Journal of Mathematics 2 Advances in Difference Equations 2 Carpathian Mathematical Publications 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Siberian Federal University. Mathematics & Physics 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Periodica Mathematica Hungarica 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Physica D 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Forum Mathematicum 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Automation and Remote Control 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Robust and Nonlinear Control 1 Russian Mathematics 1 Filomat 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Fracture 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser ...and 13 more Serials
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#### Cited in 25 Fields

 210 Partial differential equations (35-XX) 95 Integral equations (45-XX) 56 Numerical analysis (65-XX) 41 Mechanics of deformable solids (74-XX) 40 Ordinary differential equations (34-XX) 38 Operator theory (47-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Optics, electromagnetic theory (78-XX) 15 Systems theory; control (93-XX) 12 Fluid mechanics (76-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 5 Integral transforms, operational calculus (44-XX) 5 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geophysics (86-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX)