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Author ID: zacher.rico Recent zbMATH articles by "Zacher, Rico"
Published as: Zacher, Rico; Zacher, R.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 970 times in 586 Documents Cited by Year
Optimal decay estimates for time-fractional and other nonlocal subdiffusion equations via energy methods. Zbl 1317.45006
Vergara, Vicente; Zacher, Rico
91
2015
Weak solutions of abstract evolutionary integro-differential equations in Hilbert spaces. Zbl 1171.45003
Zacher, Rico
81
2009
Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\). Zbl 1354.35178
Kemppainen, Jukka; Siljander, Juhana; Vergara, Vicente; Zacher, Rico
75
2016
Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations. Zbl 1104.45008
Zacher, Rico
63
2005
On convergence of solutions to equilibria for quasilinear parabolic problems. Zbl 1172.35010
Prüss, Jan; Simonett, Gieri; Zacher, Rico
50
2009
Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type. Zbl 1160.35030
Denk, Robert; Prüss, Jan; Zacher, Rico
47
2008
Representation of solutions and large-time behavior for fully nonlocal diffusion equations. Zbl 1366.35218
Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico
47
2017
Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients. Zbl 1154.45008
Zacher, Rico
47
2008
A De Giorgi-Nash type theorem for time fractional diffusion equations. Zbl 1264.35271
Zacher, Rico
47
2013
Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations. Zbl 1365.35218
Vergara, Vicente; Zacher, Rico
41
2017
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
31
2006
Lyapunov functions and convergence to steady state for differential equations of fractional order. Zbl 1144.45003
Vergara, Vicente; Zacher, Rico
29
2008
A priori bounds for weak solutions to elliptic equations with nonstandard growth. Zbl 1261.35061
Winkert, Patrick; Zacher, Rico
26
2012
Strong solutions in the dynamical theory of compressible fluid mixtures. Zbl 1329.76060
Kotschote, Matthias; Zacher, Rico
23
2015
Global strong solvability of a quasilinear subdiffusion problem. Zbl 1259.35220
Zacher, Rico
22
2012
Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension. Zbl 1269.80004
Prüss, Jan; Simonett, Gieri; Zacher, Rico
22
2013
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
2008
Non-autonomous maximal regularity in Hilbert spaces. Zbl 1386.35251
Dier, Dominik; Zacher, Rico
16
2017
Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory. Zbl 1191.45005
Prüss, Jan; Vergara, Vicente; Zacher, Rico
15
2010
Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels. Zbl 1175.35012
Alabau-Boussouira, Fatiha; Prüss, Jan; Zacher, Rico
14
2009
Quasilinear parabolic integro-differential equations with nonlinear boundary conditions. Zbl 1212.45015
Zacher, Rico
14
2006
A priori bounds for degenerate and singular evolutionary partial integro-differential equations. Zbl 1205.45011
Vergara, Vicente; Zacher, Rico
12
2010
A weak Harnack inequality for fractional evolution equations with discontinuous coefficients. Zbl 1285.35124
Zacher, Rico
12
2013
Quasilinear parabolic problems with nonlinear boundary conditions. Zbl 1366.35096
Zacher, Rico
11
2003
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth. Zbl 1348.35117
Winkert, Patrick; Zacher, Rico
11
2016
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations. Zbl 1461.35215
Wittbold, Petra; Wolejko, Patryk; Zacher, Rico
11
2021
Discrete versions of the Li-Yau gradient estimate. Zbl 1476.35289
Dier, Dominik; Kassmann, Moritz; Zacher, Rico
10
2021
On the qualitative behaviour of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1290.35347
Prüss, Jan; Simonett, Gieri; Zacher, Rico
9
2013
Convergence to equilibrium for second order differential equations with weak damping of memory type. Zbl 1190.45007
Zacher, Rico
8
2009
Long-time behavior of non-local in time Fokker-Planck equations via the entropy method. Zbl 1411.35272
Kemppainen, Jukka; Zacher, Rico
8
2019
On normal stability for nonlinear parabolic equations. Zbl 1194.35047
Prüss, Jan; Simonett, Gieri; Zacher, Rico
7
2009
Mathematical models in biology. (Mathematische Modelle in der Biologie.) Zbl 1314.92004
Prüß, Jan W.; Schnaubelt, Roland; Zacher, Rico
6
2008
Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations. Zbl 1478.35066
Niebel, Lukas; Zacher, Rico
6
2022
The fractional Laplacian has infinite dimension. Zbl 1427.35338
Spener, Adrian; Weber, Frederic; Zacher, Rico
6
2020
Well-posedness of a quasilinear hyperbolic-parabolic system arising in mathematical biology. Zbl 1147.35008
Gerisch, Alf; Kotschote, Matthias; Zacher, Rico
5
2007
Curvature-dimension inequalities for non-local operators in the discrete setting. Zbl 07107599
Spener, Adrian; Weber, Frederic; Zacher, Rico
5
2019
Persistent solutions for age-dependent pair-formation models. Zbl 1008.92030
Zacher, Rico
4
2001
Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation. Zbl 1480.35084
Niebel, Lukas; Zacher, Rico
4
2021
On the parabolic Harnack inequality for non-local diffusion equations. Zbl 1446.35246
Dier, Dominik; Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico
4
2020
The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains. Zbl 1480.60219
Weber, Frederic; Zacher, Rico
4
2021
A weak Harnack inequality for fractional differential equations. Zbl 1140.34003
Zacher, Rico
3
2007
The Harnack inequality for the Riemann-Liouville fractional derivation operator. Zbl 1206.26013
Zacher, Rico
3
2011
Global smooth solutions to a fourth-order quasilinear fractional evolution equation. Zbl 1167.45007
Clément, Philippe; Zacher, Rico
1
2008
Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009
1
2017
Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel. Zbl 1512.35643
Weber, Frederic; Zacher, Rico
1
2023
Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel. Zbl 1512.35643
Weber, Frederic; Zacher, Rico
1
2023
Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations. Zbl 1478.35066
Niebel, Lukas; Zacher, Rico
6
2022
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations. Zbl 1461.35215
Wittbold, Petra; Wolejko, Patryk; Zacher, Rico
11
2021
Discrete versions of the Li-Yau gradient estimate. Zbl 1476.35289
Dier, Dominik; Kassmann, Moritz; Zacher, Rico
10
2021
Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation. Zbl 1480.35084
Niebel, Lukas; Zacher, Rico
4
2021
The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains. Zbl 1480.60219
Weber, Frederic; Zacher, Rico
4
2021
The fractional Laplacian has infinite dimension. Zbl 1427.35338
Spener, Adrian; Weber, Frederic; Zacher, Rico
6
2020
On the parabolic Harnack inequality for non-local diffusion equations. Zbl 1446.35246
Dier, Dominik; Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico
4
2020
Long-time behavior of non-local in time Fokker-Planck equations via the entropy method. Zbl 1411.35272
Kemppainen, Jukka; Zacher, Rico
8
2019
Curvature-dimension inequalities for non-local operators in the discrete setting. Zbl 07107599
Spener, Adrian; Weber, Frederic; Zacher, Rico
5
2019
Representation of solutions and large-time behavior for fully nonlocal diffusion equations. Zbl 1366.35218
Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico
47
2017
Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations. Zbl 1365.35218
Vergara, Vicente; Zacher, Rico
41
2017
Non-autonomous maximal regularity in Hilbert spaces. Zbl 1386.35251
Dier, Dominik; Zacher, Rico
16
2017
Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009
1
2017
Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\). Zbl 1354.35178
Kemppainen, Jukka; Siljander, Juhana; Vergara, Vicente; Zacher, Rico
75
2016
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth. Zbl 1348.35117
Winkert, Patrick; Zacher, Rico
11
2016
Optimal decay estimates for time-fractional and other nonlocal subdiffusion equations via energy methods. Zbl 1317.45006
Vergara, Vicente; Zacher, Rico
91
2015
Strong solutions in the dynamical theory of compressible fluid mixtures. Zbl 1329.76060
Kotschote, Matthias; Zacher, Rico
23
2015
A De Giorgi-Nash type theorem for time fractional diffusion equations. Zbl 1264.35271
Zacher, Rico
47
2013
Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension. Zbl 1269.80004
Prüss, Jan; Simonett, Gieri; Zacher, Rico
22
2013
A weak Harnack inequality for fractional evolution equations with discontinuous coefficients. Zbl 1285.35124
Zacher, Rico
12
2013
On the qualitative behaviour of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1290.35347
Prüss, Jan; Simonett, Gieri; Zacher, Rico
9
2013
A priori bounds for weak solutions to elliptic equations with nonstandard growth. Zbl 1261.35061
Winkert, Patrick; Zacher, Rico
26
2012
Global strong solvability of a quasilinear subdiffusion problem. Zbl 1259.35220
Zacher, Rico
22
2012
The Harnack inequality for the Riemann-Liouville fractional derivation operator. Zbl 1206.26013
Zacher, Rico
3
2011
Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory. Zbl 1191.45005
Prüss, Jan; Vergara, Vicente; Zacher, Rico
15
2010
A priori bounds for degenerate and singular evolutionary partial integro-differential equations. Zbl 1205.45011
Vergara, Vicente; Zacher, Rico
12
2010
Weak solutions of abstract evolutionary integro-differential equations in Hilbert spaces. Zbl 1171.45003
Zacher, Rico
81
2009
On convergence of solutions to equilibria for quasilinear parabolic problems. Zbl 1172.35010
Prüss, Jan; Simonett, Gieri; Zacher, Rico
50
2009
Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels. Zbl 1175.35012
Alabau-Boussouira, Fatiha; Prüss, Jan; Zacher, Rico
14
2009
Convergence to equilibrium for second order differential equations with weak damping of memory type. Zbl 1190.45007
Zacher, Rico
8
2009
On normal stability for nonlinear parabolic equations. Zbl 1194.35047
Prüss, Jan; Simonett, Gieri; Zacher, Rico
7
2009
Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type. Zbl 1160.35030
Denk, Robert; Prüss, Jan; Zacher, Rico
47
2008
Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients. Zbl 1154.45008
Zacher, Rico
47
2008
Lyapunov functions and convergence to steady state for differential equations of fractional order. Zbl 1144.45003
Vergara, Vicente; Zacher, Rico
29
2008
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
2008
Mathematical models in biology. (Mathematische Modelle in der Biologie.) Zbl 1314.92004
Prüß, Jan W.; Schnaubelt, Roland; Zacher, Rico
6
2008
Global smooth solutions to a fourth-order quasilinear fractional evolution equation. Zbl 1167.45007
Clément, Philippe; Zacher, Rico
1
2008
Well-posedness of a quasilinear hyperbolic-parabolic system arising in mathematical biology. Zbl 1147.35008
Gerisch, Alf; Kotschote, Matthias; Zacher, Rico
5
2007
A weak Harnack inequality for fractional differential equations. Zbl 1140.34003
Zacher, Rico
3
2007
Analysis of a model for the dynamics of prions. Zbl 1088.92043
Prüss, Jan; Pujo-Menjouet, Laurent; Webb, G. F.; Zacher, Rico
31
2006
Quasilinear parabolic integro-differential equations with nonlinear boundary conditions. Zbl 1212.45015
Zacher, Rico
14
2006
Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations. Zbl 1104.45008
Zacher, Rico
63
2005
Quasilinear parabolic problems with nonlinear boundary conditions. Zbl 1366.35096
Zacher, Rico
11
2003
Persistent solutions for age-dependent pair-formation models. Zbl 1008.92030
Zacher, Rico
4
2001
all top 5

Cited by 733 Authors

28 Zacher, Rico
25 Prüß, Jan Wilhelm
16 Yamamoto, Masahiro
15 Simonett, Gieri
15 Wilke, Mathias
13 Zhou, Yong
12 Vergara, Vicente
11 Ahmad, Bashir
11 Al-saedi, Ahmed Eid Salem
10 He, Jiawei
10 Lizama, Carlos
9 Dong, Hongjie
9 Hieber, Matthias
9 Winkert, Patrick
8 Kotschote, Matthias
8 Meyries, Martin
8 Nguyen Nhu Thang
8 Schnaubelt, Roland
7 Ho, Ky
7 Kirane, Mokhtar
6 Denk, Robert
6 Kim, KyeongHun
6 Krasnoshchok, Mykola Valeriĭovych
6 Luchko, Yuri
6 Peng, Li
6 Pozo, Juan Carlos
6 Valdinoci, Enrico
5 Abels, Helmut
5 Bothe, Dieter
5 Dier, Dominik
5 Dipierro, Serena
5 Egert, Moritz
5 Kemppainen, Jukka T.
5 Li, Zhiyuan
5 Lindemulder, Nick
5 Lippoth, Friedrich-Matthias
5 Papageorgiou, Nikolaos S.
5 Tuan, Tran Van
5 Veraar, Mark C.
5 Viana, Arlúcio
5 Walker, Christoph
5 Weber, Frederic
5 Zhang, Quanguo
4 Auscher, Pascal
4 Berbiche, Mohamed
4 de Andrade, Bruno
4 Garcke, Harald
4 Giga, Yoshikazu
4 Giorgini, Andrea
4 Goodrich, Christopher S.
4 Hadzic, Mahir
4 Jia, Junxiong
4 Kian, Yavar
4 Kim, Doyoon
4 Kumar, Rajiv
4 LeCrone, Jeremy S.
4 Li, Lei
4 Li, Yaning
4 Liu, Jianguo
4 Nguyen Huy Tuan
4 Park, Daehan
4 Płociniczak, Łukasz
4 Pujo-Menjouet, Laurent
4 Shimizu, Senjo
4 Sim, Inbo
4 Sindi, Suzanne S.
4 Skrypnik, Igor Igorievich
4 Torebek, Berikbol Tillabayuly
4 Tran Dinh Ke
4 Tran, Dinh Ke
4 Trostorff, Sascha
4 Vasylyeva, Nataliya V.
4 Waurick, Marcus
4 Winkler, Michael
3 Abadias, Luciano
3 Affili, Elisa
3 Allen, Mark G.
3 Alvarez, Edgardo
3 Area, Iván
3 Arendt, Wolfgang
3 Augner, Björn
3 Chen, Yazhou
3 Choudhary, Kapil Kumar
3 Cortázar, Carmen
3 Degtyarev, Sergeĭ Petrovich
3 Djida, Jean Daniel
3 Doumic, Marie
3 Fackler, Stephan
3 Freistühler, Heinrich
3 Fritz, Marvin
3 Fu, Yongqiang
3 Guidetti, Davide
3 Hamamuki, Nao
3 Janno, Jaan
3 Jeong, Darae
3 Jin, Bangti
3 Kim, Junseok
3 Kim, Panki
3 Kim, Yunho
3 Köhne, Matthias
...and 633 more Authors
all top 5

Cited in 174 Serials

32 Journal of Differential Equations
32 Journal of Evolution Equations
28 Journal of Mathematical Analysis and Applications
23 Fractional Calculus & Applied Analysis
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Mathematical Methods in the Applied Sciences
14 Journal of Functional Analysis
12 Computers & Mathematics with Applications
11 Evolution Equations and Control Theory
10 SIAM Journal on Mathematical Analysis
9 Archive for Rational Mechanics and Analysis
9 Journal of Mathematical Biology
9 NoDEA. Nonlinear Differential Equations and Applications
9 Discrete and Continuous Dynamical Systems
9 Discrete and Continuous Dynamical Systems. Series B
8 Mathematische Annalen
8 Applied Mathematics Letters
8 Journal of Integral Equations and Applications
7 Mathematische Nachrichten
7 Nonlinear Analysis. Real World Applications
6 Inverse Problems
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Calculus of Variations and Partial Differential Equations
5 Applied Mathematics and Computation
5 Archiv der Mathematik
5 Monatshefte für Mathematik
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Topological Methods in Nonlinear Analysis
5 Journal of Mathematical Sciences (New York)
5 Communications on Pure and Applied Analysis
5 Discrete and Continuous Dynamical Systems. Series S
4 Applicable Analysis
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Results in Mathematics
4 SIAM Journal on Numerical Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of Inverse and Ill-Posed Problems
4 Journal of Mathematical Fluid Mechanics
4 Interfaces and Free Boundaries
4 Communications in Nonlinear Science and Numerical Simulation
4 AIMS Mathematics
3 Chaos, Solitons and Fractals
3 Advances in Mathematics
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Communications in Partial Differential Equations
3 Vietnam Journal of Mathematics
3 Inverse Problems and Imaging
3 Mathematical Control and Related Fields
3 Advances in Nonlinear Analysis
3 Electronic Research Archive
2 Communications in Mathematical Physics
2 Lithuanian Mathematical Journal
2 Mathematical Biosciences
2 Rocky Mountain Journal of Mathematics
2 Studia Mathematica
2 The Annals of Probability
2 Applied Mathematics and Optimization
2 Journal of Optimization Theory and Applications
2 Mathematische Zeitschrift
2 Semigroup Forum
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 Asymptotic Analysis
2 European Journal of Applied Mathematics
2 Numerical Algorithms
2 SIAM Journal on Applied Mathematics
2 Stochastic Processes and their Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Potential Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Mathematical Problems in Engineering
2 Revista Matemática Complutense
2 Discrete Dynamics in Nature and Society
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Milan Journal of Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Mediterranean Journal of Mathematics
2 Oberwolfach Reports
2 Boundary Value Problems
2 Frontiers of Mathematics in China
2 Mathematical Modelling of Natural Phenomena
2 Mathematics
2 SN Partial Differential Equations and Applications
1 Modern Physics Letters A
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Nonlinearity
1 Mathematics of Computation
...and 74 more Serials
all top 5

Cited in 38 Fields

472 Partial differential equations (35-XX)
86 Real functions (26-XX)
86 Integral equations (45-XX)
81 Operator theory (47-XX)
73 Ordinary differential equations (34-XX)
70 Fluid mechanics (76-XX)
57 Biology and other natural sciences (92-XX)
41 Numerical analysis (65-XX)
31 Probability theory and stochastic processes (60-XX)
25 Functional analysis (46-XX)
22 Systems theory; control (93-XX)
19 Mechanics of deformable solids (74-XX)
17 Dynamical systems and ergodic theory (37-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Classical thermodynamics, heat transfer (80-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Differential geometry (53-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Special functions (33-XX)
10 Integral transforms, operational calculus (44-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Difference and functional equations (39-XX)
6 Combinatorics (05-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year