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Author ID: karch.grzegorz Recent zbMATH articles by "Karch, Grzegorz"
Published as: Karch, Grzegorz; Karch, G.
Homepage: http://www.math.uni.wroc.pl/~karch/
External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr
all top 5

Serials

6 Journal of Differential Equations
4 Mathematical Methods in the Applied Sciences
4 Nonlinearity
4 Discrete and Continuous Dynamical Systems
4 Journal of Evolution Equations
3 Studia Mathematica
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Journal on Mathematical Analysis
2 Archive for Rational Mechanics and Analysis
2 Annales Polonici Mathematici
2 Monatshefte für Mathematik
2 Communications in Partial Differential Equations
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Banach Center Publications
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Advances in Mathematics
1 Demonstratio Mathematica
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Differential and Integral Equations
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Journal of Dynamics and Differential Equations
1 Topological Methods in Nonlinear Analysis
1 Applicationes Mathematicae
1 Advances in Differential Equations
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Mathematical Fluid Mechanics
1 Communications on Pure and Applied Analysis
1 Networks and Heterogeneous Media
1 Kinetic and Related Models
1 Wiadomości Matematyczne
1 Nonlinear Analysis. Theory, Methods & Applications
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 1,388 times in 901 Documents Cited by Year
Selfsimilar profiles in large time asymptotics of solutions to damped wave equations. Zbl 0964.35022
Karch, Grzegorz
96
2000
Smooth or singular solutions to the Navier-Stokes system? Zbl 1042.35043
Cannone, Marco; Karch, Grzegorz
75
2004
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
72
2006
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
70
2001
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
65
2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
57
2010
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
52
2015
Asymptotic behaviour of solutions to some pseudoparabolic equations. Zbl 0869.35057
Karch, Grzegorz
50
1997
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz
40
2004
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
36
2011
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
35
2001
Scaling in nonlinear parabolic equations. Zbl 0937.35086
Karch, Grzegorz
34
1999
Instability of Turing patterns in reaction-diffusion-ODE systems. Zbl 1356.35043
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
32
2017
On convergence of solutions of fractal Burgers equation toward rarefaction waves. Zbl 1154.35080
Karch, Grzegorz; Miao, Changxing; Xu, Xiaojing
31
2008
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
30
2004
Decay of mass for nonlinear equation with fractional Laplacian. Zbl 1211.35267
Fino, Ahmad; Karch, Grzegorz
27
2010
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024
Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz
26
2004
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek
26
2017
Fractal Hamilton-Jacobi-KPZ equations. Zbl 1136.35012
Karch, Grzegorz; Woyczyński, Wojbor A.
25
2008
Far field asymptotics of solutions to convection equation with anomalous diffusion. Zbl 1146.35318
Brandolese, Lorenzo; Karch, Grzegorz
25
2008
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
25
1999
Self-similar large time behavior of solutions to Korteweg-de Vries-Burgers equation. Zbl 0923.35158
Karch, Grzegorz
24
1999
Asymptotic stability of Landau solutions to Navier-Stokes system. Zbl 1256.35061
Karch, Grzegorz; Pilarczyk, Dominika
23
2011
Unstable patterns in reaction-diffusion model of early carcinogenesis. Zbl 1295.35072
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
23
2013
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
22
2005
Asymptotic properties of entropy solutions to fractal Burgers equation. Zbl 1225.35026
Alibaud, Nathael; Imbert, Cyril; Karch, Grzegorz
22
2010
Infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1205.35180
Cannone, Marco; Karch, Grzegorz
21
2010
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
20
2006
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
20
2015
\(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). Zbl 1368.35207
Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E.
19
2017
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
18
2000
Large-time behaviour of solutions to nonlinear wave equations: Higher-order asymptotics. Zbl 0947.35141
Karch, Grzegorz
17
1999
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
17
2018
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398
Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz
14
2015
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
14
2009
Spikes and diffusion waves in a one-dimensional model of chemotaxis. Zbl 1206.35238
Karch, Grzegorz; Suzuki, Kanako
14
2010
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
14
2019
Dynamical spike solutions in a nonlocal model of pattern formation. Zbl 1391.35289
Marciniak-Czochra, Anna; Härting, Steffen; Karch, Grzegorz; Suzuki, Kanako
14
2018
Blow-up versus global existence of solutions to aggregation equations. Zbl 1233.35046
Karch, Grzegorz; Suzuki, Kanako
13
2011
Time-dependent singularities in the Navier-Stokes system. Zbl 1332.35311
Karch, Grzegorz; Zheng, Xiaoxin
13
2015
Large time behaviour of solutions to nonhomogeneous diffusion equations. Zbl 1124.35011
Dolbeault, Jean; Karch, Grzegorz
12
2006
Self-similarity in viscous Boussinesq equations. Zbl 1136.35073
Karch, Grzegorz; Prioux, Nicolas
10
2008
Asymptotics of solutions to the Navier-Stokes system in exterior domains. Zbl 1304.35493
Iftimie, Dragoş; Karch, Grzegorz; Lacave, Christophe
8
2014
\(L^ p\)-decay of solutions to dissipative-dispersive perturbations of conservation laws. Zbl 0882.35017
Karch, Grzegorz
8
1997
On zero mass solutions of viscous conservation laws. Zbl 1021.35016
Karch, Grzegorz; Schonbek, Maria Elena
7
2002
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013
Biler, Piotr; Karch, Grzegorz
7
2003
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
7
2016
Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems. Zbl 1374.35222
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
6
2016
Two-dimensional fractal Burgers equation with step-like initial conditions. Zbl 1331.35370
Karch, Grzegorz; Pudełko, Anna; Xu, Xiaojing
6
2015
Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103
Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P.
5
2020
Instability of all regular stationary solutions to reaction-diffusion-ODE systems. Zbl 1497.35038
Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
4
2022
Scaling in nonlinear parabolic equations: Applications to Debye system. Zbl 1047.35060
Karch, Grzegorz
3
2001
Note on Lorentz spaces and differentiability of weak solutions to elliptic equations. Zbl 0873.35014
Karch, Grzegorz; Ricciardi, Tonia
3
1997
On self-similar solutions to the homogeneous Boltzmann equation. Zbl 1302.82084
Cannone, Marco; Karch, Grzegorz
3
2013
Stability of constant steady states of a chemotaxis model. Zbl 1487.35056
Cygan, Szymon; Karch, Grzegorz; Krawczyk, Krzysztof; Wakui, Hiroshi
3
2021
Mathematical treatment of PDE model of chemotactic E. coli colonies. Zbl 1457.35089
Celiński, Rafał; Hilhorst, Danielle; Karch, Grzegorz; Mimura, Masayasu; Roux, Pierre
3
2021
Stability of singular solutions to the Navier-Stokes system. Zbl 1487.35283
Cannone, Marco; Karch, Grzegorz; Pilarczyk, Dominika; Wu, Gang
3
2022
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2
2004
Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004
2
2006
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065
Biler, Piotr; Karch, Grzegorz
2
2000
Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120
Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J.
2
2001
Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2
2004
Finite-time blowup of solutions to some activator-inhibitor systems. Zbl 1361.35087
Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
2
2016
A framework for nonlocal, nonlinear initial value problems. Zbl 1439.35534
Karch, Grzegorz; Kassmann, Moritz; Krupski, Miłosz
2
2020
Asymptotics of solutions to a convection-diffusion equation on the half-line. Zbl 0959.35021
Karch, G.
2
2000
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
2
2021
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148
Biler, P.; Karch, G.; Woyczyński, W. A.
1
2001
On the validity of the Picard algorithm for nonlinear parabolic equations. Zbl 1095.35034
Cannone, Marco; Karch, Grzegorz
1
2005
Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
1
2022
Stable discontinuous stationary solutions to reaction-diffusion-ODE systems. Zbl 1518.35063
Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
1
2023
Stable discontinuous stationary solutions to reaction-diffusion-ODE systems. Zbl 1518.35063
Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
1
2023
Instability of all regular stationary solutions to reaction-diffusion-ODE systems. Zbl 1497.35038
Cygan, Szymon; Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
4
2022
Stability of singular solutions to the Navier-Stokes system. Zbl 1487.35283
Cannone, Marco; Karch, Grzegorz; Pilarczyk, Dominika; Wu, Gang
3
2022
Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
1
2022
Stability of constant steady states of a chemotaxis model. Zbl 1487.35056
Cygan, Szymon; Karch, Grzegorz; Krawczyk, Krzysztof; Wakui, Hiroshi
3
2021
Mathematical treatment of PDE model of chemotactic E. coli colonies. Zbl 1457.35089
Celiński, Rafał; Hilhorst, Danielle; Karch, Grzegorz; Mimura, Masayasu; Roux, Pierre
3
2021
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
2
2021
Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103
Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P.
5
2020
A framework for nonlocal, nonlinear initial value problems. Zbl 1439.35534
Karch, Grzegorz; Kassmann, Moritz; Krupski, Miłosz
2
2020
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
14
2019
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
17
2018
Dynamical spike solutions in a nonlocal model of pattern formation. Zbl 1391.35289
Marciniak-Czochra, Anna; Härting, Steffen; Karch, Grzegorz; Suzuki, Kanako
14
2018
Instability of Turing patterns in reaction-diffusion-ODE systems. Zbl 1356.35043
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
32
2017
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek
26
2017
\(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). Zbl 1368.35207
Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E.
19
2017
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
7
2016
Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems. Zbl 1374.35222
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
6
2016
Finite-time blowup of solutions to some activator-inhibitor systems. Zbl 1361.35087
Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
2
2016
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
52
2015
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
20
2015
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398
Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz
14
2015
Time-dependent singularities in the Navier-Stokes system. Zbl 1332.35311
Karch, Grzegorz; Zheng, Xiaoxin
13
2015
Two-dimensional fractal Burgers equation with step-like initial conditions. Zbl 1331.35370
Karch, Grzegorz; Pudełko, Anna; Xu, Xiaojing
6
2015
Asymptotics of solutions to the Navier-Stokes system in exterior domains. Zbl 1304.35493
Iftimie, Dragoş; Karch, Grzegorz; Lacave, Christophe
8
2014
Unstable patterns in reaction-diffusion model of early carcinogenesis. Zbl 1295.35072
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
23
2013
On self-similar solutions to the homogeneous Boltzmann equation. Zbl 1302.82084
Cannone, Marco; Karch, Grzegorz
3
2013
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
36
2011
Asymptotic stability of Landau solutions to Navier-Stokes system. Zbl 1256.35061
Karch, Grzegorz; Pilarczyk, Dominika
23
2011
Blow-up versus global existence of solutions to aggregation equations. Zbl 1233.35046
Karch, Grzegorz; Suzuki, Kanako
13
2011
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
65
2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
57
2010
Decay of mass for nonlinear equation with fractional Laplacian. Zbl 1211.35267
Fino, Ahmad; Karch, Grzegorz
27
2010
Asymptotic properties of entropy solutions to fractal Burgers equation. Zbl 1225.35026
Alibaud, Nathael; Imbert, Cyril; Karch, Grzegorz
22
2010
Infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1205.35180
Cannone, Marco; Karch, Grzegorz
21
2010
Spikes and diffusion waves in a one-dimensional model of chemotaxis. Zbl 1206.35238
Karch, Grzegorz; Suzuki, Kanako
14
2010
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
14
2009
On convergence of solutions of fractal Burgers equation toward rarefaction waves. Zbl 1154.35080
Karch, Grzegorz; Miao, Changxing; Xu, Xiaojing
31
2008
Fractal Hamilton-Jacobi-KPZ equations. Zbl 1136.35012
Karch, Grzegorz; Woyczyński, Wojbor A.
25
2008
Far field asymptotics of solutions to convection equation with anomalous diffusion. Zbl 1146.35318
Brandolese, Lorenzo; Karch, Grzegorz
25
2008
Self-similarity in viscous Boussinesq equations. Zbl 1136.35073
Karch, Grzegorz; Prioux, Nicolas
10
2008
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
72
2006
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
20
2006
Large time behaviour of solutions to nonhomogeneous diffusion equations. Zbl 1124.35011
Dolbeault, Jean; Karch, Grzegorz
12
2006
Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004
2
2006
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
22
2005
On the validity of the Picard algorithm for nonlinear parabolic equations. Zbl 1095.35034
Cannone, Marco; Karch, Grzegorz
1
2005
Smooth or singular solutions to the Navier-Stokes system? Zbl 1042.35043
Cannone, Marco; Karch, Grzegorz
75
2004
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz
40
2004
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
30
2004
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024
Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz
26
2004
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2
2004
Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2
2004
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013
Biler, Piotr; Karch, Grzegorz
7
2003
On zero mass solutions of viscous conservation laws. Zbl 1021.35016
Karch, Grzegorz; Schonbek, Maria Elena
7
2002
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
70
2001
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
35
2001
Scaling in nonlinear parabolic equations: Applications to Debye system. Zbl 1047.35060
Karch, Grzegorz
3
2001
Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120
Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J.
2
2001
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148
Biler, P.; Karch, G.; Woyczyński, W. A.
1
2001
Selfsimilar profiles in large time asymptotics of solutions to damped wave equations. Zbl 0964.35022
Karch, Grzegorz
96
2000
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
18
2000
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065
Biler, Piotr; Karch, Grzegorz
2
2000
Asymptotics of solutions to a convection-diffusion equation on the half-line. Zbl 0959.35021
Karch, G.
2
2000
Scaling in nonlinear parabolic equations. Zbl 0937.35086
Karch, Grzegorz
34
1999
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
25
1999
Self-similar large time behavior of solutions to Korteweg-de Vries-Burgers equation. Zbl 0923.35158
Karch, Grzegorz
24
1999
Large-time behaviour of solutions to nonlinear wave equations: Higher-order asymptotics. Zbl 0947.35141
Karch, Grzegorz
17
1999
Asymptotic behaviour of solutions to some pseudoparabolic equations. Zbl 0869.35057
Karch, Grzegorz
50
1997
\(L^ p\)-decay of solutions to dissipative-dispersive perturbations of conservation laws. Zbl 0882.35017
Karch, Grzegorz
8
1997
Note on Lorentz spaces and differentiability of weak solutions to elliptic equations. Zbl 0873.35014
Karch, Grzegorz; Ricciardi, Tonia
3
1997
all top 5

Cited by 1,020 Authors

41 Karch, Grzegorz
27 Biler, Piotr
23 Vazquez, Juan Luis
19 Ikehata, Ryo
17 Ferreira, Lucas Catão de Freitas
17 Kaikina, Elena Igorevna
16 D’Abbicco, Marcello
16 Laurençot, Philippe
16 Zhao, Jihong
13 Carrillo de la Plata, José Antonio
13 Marciniak-Czochra, Anna K.
13 Naumkin, Pavel Ivanovich
12 Kozono, Hideo
12 Nishihara, Kenji
12 Wakasugi, Yuta
11 Fino, Ahmad Z.
11 Liu, Zuhan
11 Takeda, Hiroshi
10 Granero Belinchón, Rafael
10 Hayashi, Nakao
9 Ebert, Marcelo Rempel
9 Ishige, Kazuhiro
9 Kawakami, Tatsuki
8 Charão, Ruy Coimbra
8 Souplet, Philippe
8 Woyczynski, Wojbor A.
8 Zhao, Huijiang
8 Zhou, Ling
7 Cui, Shangbin
7 Dolbeault, Jean
7 Ignat, Liviu I.
7 Imbert, Cyril
7 Jakubowski, Tomasz
7 Mizoguchi, Noriko
7 Pilarczyk, Dominika
7 Schonbek, Maria Elena
7 Shimizu, Senjo
7 Sobajima, Motohiro
7 Winkler, Michael
7 Wu, Gang
7 Zhang, Qian
7 Zienkiewicz, Jacek
6 del Teso, Félix
6 Fukuda, Ikki
6 Morimoto, Yoshinori
6 Ogawa, Takayoshi
6 Wang, Weike
6 Yamamoto, Masakazu
6 Yang, Tong
5 Abdellaoui, Boumediene
5 Alibaud, Nathaël
5 Blanchet, Adrien
5 Brandolese, Lorenzo
5 Burczak, Jan
5 Cao, Yang
5 Duan, Jinqiao
5 Iagar, Razvan Gabriel
5 Stan, Diana
5 Sun, Jinyi
5 Suzuki, Kanako
5 Takagi, Izumi
5 Takahashi, Jin
5 van Meurs, Patrick
5 Yang, Minghua
5 Zamponi, Nicola
5 Zhu, Weipeng
4 Bogdan, Krzysztof
4 Caffarelli, Luis Ángel
4 Calvez, Vincent
4 Cannone, Marco
4 Chen, Qionglei
4 Corrias, Lucilla
4 Cuevas, Claudio
4 Cygan, Szymon
4 da Luz, Cleverson Roberto
4 Dao, Nguyen Anh
4 Deng, Chao
4 Ikeda, Masahiro
4 Iwabuchi, Tsukasa
4 Jakobsen, Espen Robstad
4 Kirane, Mokhtar
4 Li, Kaiqiang
4 Liu, Jianguo
4 Liu, Qiao
4 Lv, Guangying
4 Masmoudi, Nader
4 Michihisa, Hironori
4 Nie, Yao
4 Quirós Gracián, Fernando
4 Soria, Fernando
4 Sugiyama, Yoshie
4 Suguro, Takeshi
4 Tang, Yanbin
4 Villamizar-Roa, Elder Jesús
4 Wakui, Hiroshi
4 Wang, Shuaikun
4 Wu, Jianglun
4 Yan, Xukai
4 Yanagida, Eiji
4 Zheng, Xiaoxin
...and 920 more Authors
all top 5

Cited in 199 Serials

77 Journal of Differential Equations
69 Journal of Mathematical Analysis and Applications
50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Mathematical Methods in the Applied Sciences
22 SIAM Journal on Mathematical Analysis
19 Archive for Rational Mechanics and Analysis
18 Communications in Partial Differential Equations
18 Discrete and Continuous Dynamical Systems
17 Journal of Evolution Equations
16 Journal of Functional Analysis
16 NoDEA. Nonlinear Differential Equations and Applications
14 Nonlinearity
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Journal of Mathematical Physics
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Calculus of Variations and Partial Differential Equations
12 Communications on Pure and Applied Analysis
11 Nonlinear Analysis. Real World Applications
10 Discrete and Continuous Dynamical Systems. Series B
9 Applicable Analysis
9 Computers & Mathematics with Applications
9 Communications in Mathematical Physics
9 Transactions of the American Mathematical Society
8 Advances in Mathematics
8 Mathematische Annalen
8 Mathematische Nachrichten
8 Applied Mathematics Letters
7 Journal of Statistical Physics
7 Asymptotic Analysis
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Communications on Pure and Applied Mathematics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Acta Applicandae Mathematicae
6 Journal of Dynamics and Differential Equations
6 Acta Mathematica Sinica. English Series
6 Communications in Contemporary Mathematics
6 Boundary Value Problems
6 Discrete and Continuous Dynamical Systems. Series S
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Monatshefte für Mathematik
5 Proceedings of the American Mathematical Society
5 Physica D
5 Fractional Calculus & Applied Analysis
5 Networks and Heterogeneous Media
5 Science China. Mathematics
5 Journal of Elliptic and Parabolic Equations
4 Physica A
4 Reports on Mathematical Physics
4 Applied Mathematics and Computation
4 Journal of the London Mathematical Society. Second Series
4 SIAM Journal on Applied Mathematics
4 Stochastic Processes and their Applications
4 Nonlinear Dynamics
4 Abstract and Applied Analysis
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Complex Variables and Elliptic Equations
4 Kinetic and Related Models
4 Journal of Pseudo-Differential Operators and Applications
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Biology
3 Indiana University Mathematics Journal
3 Numerische Mathematik
3 Osaka Journal of Mathematics
3 Quarterly of Applied Mathematics
3 Topological Methods in Nonlinear Analysis
3 Journal of Mathematical Sciences (New York)
3 Electronic Journal of Differential Equations (EJDE)
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 Differential Equations
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Stochastics and Dynamics
3 Mediterranean Journal of Mathematics
3 Séminaire Laurent Schwartz. EDP et Applications
3 Mathematics in Engineering
2 Journal of Computational Physics
2 Journal of Engineering Mathematics
2 Mathematical Notes
2 Bulletin of Mathematical Biology
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Bulletin of the Korean Mathematical Society
2 Acta Mathematicae Applicatae Sinica. English Series
2 Probability Theory and Related Fields
2 Constructive Approximation
2 Numerical Methods for Partial Differential Equations
2 Journal of Nonlinear Science
2 Potential Analysis
2 Bulletin des Sciences Mathématiques
2 Vietnam Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Chaos
2 Journal of Mathematical Fluid Mechanics
2 Interfaces and Free Boundaries
2 Nonlinear Dynamics and Systems Theory
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
...and 99 more Serials
all top 5

Cited in 37 Fields

863 Partial differential equations (35-XX)
176 Fluid mechanics (76-XX)
168 Biology and other natural sciences (92-XX)
54 Probability theory and stochastic processes (60-XX)
44 Real functions (26-XX)
43 Statistical mechanics, structure of matter (82-XX)
39 Numerical analysis (65-XX)
35 Operator theory (47-XX)
25 Functional analysis (46-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
24 Mechanics of deformable solids (74-XX)
23 Integral equations (45-XX)
22 Ordinary differential equations (34-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
15 Dynamical systems and ergodic theory (37-XX)
8 Geophysics (86-XX)
7 Special functions (33-XX)
7 Optics, electromagnetic theory (78-XX)
7 Systems theory; control (93-XX)
6 Functions of a complex variable (30-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Potential theory (31-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Measure and integration (28-XX)
3 Mechanics of particles and systems (70-XX)
2 Difference and functional equations (39-XX)
2 Differential geometry (53-XX)
2 Astronomy and astrophysics (85-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)

Citations by Year

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