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Rothe, Franz

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Author ID: rothe.franz Recent zbMATH articles by "Rothe, Franz"
Published as: Rothe, F.; Rothe, Franz
Documents Indexed: 32 Publications since 1974, including 1 Book

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 549 times in 482 Documents Cited by Year
Global solutions of reaction-diffusion systems. Zbl 0546.35003
Rothe, Franz
173
1984
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
90
1975
Convergence to homogeneous equilibrium state for generalized Volterra- Lotka systems with diffusion. Zbl 0425.35055
De Mottoni, P.; Rothe, F.
48
1979
Convergence to the equilibrium state in the Volterra-Lotka diffusion equations. Zbl 0355.92013
Rothe, F.
37
1976
The periods of the Volterra-Lotka system. Zbl 0547.92011
Rothe, Franz
30
1985
Convergence to pushed fronts. Zbl 0516.35013
Rothe, Franz
24
1981
Convergence to travelling fronts in semilinear parabolic equations. Zbl 0389.35024
Rothe, Franz
22
1978
Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations. Zbl 0457.35043
Rothe, F.
21
1982
Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology. Zbl 0471.35031
Rothe, Franz
15
1981
Remarks on periods of planar Hamiltonian systems. Zbl 0769.34032
Rothe, Franz
14
1993
Stationary solutions of reaction-diffusion equations. Zbl 0424.35047
Hadeler, K. P.; Rothe, F.; Vogt, H.
11
1979
Nonhomogeneous spatial distributions of populations. Zbl 0315.92012
Hadeler, K. P.; an der Heiden, Uwe; Rothe, F.
11
1974
Multiple bifurcation in a predator-prey system with non-monotonic predator response. Zbl 0763.92011
Rothe, Franz; Shafer, Douglas S.
8
1992
Some analytical results about a simple reaction-diffusion system for morphogenesis. Zbl 0399.35091
Rothe, Franz
7
1979
Thermodynamics, real and complex periods of the Volterra model. Zbl 0591.92017
Rothe, Franz
6
1985
A singular perturbation analysis for a reaction-diffusion system describing pattern formation. Zbl 0452.35058
de Mottoni, P.; Rothe, F.
5
1980
A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior. Zbl 0425.35017
Rothe, F.; De Mottoni, P.
5
1979
Boundedness and decay estimates for a class of reaction-diffusion systems on \(\mathbb{R}^ n\). Zbl 0815.35042
Avrin, Joel D.; Rothe, Franz
3
1994
A priori estimates for nonlinear Poisson equations and phase plane analysis of the Emden-Fowler equation. Zbl 0794.35058
Rothe, F.
3
1992
Asymptotic behavior of a nonhomogeneous predator-prey system with one diffusing and one sedentary species. Zbl 0513.92019
Rothe, F.
3
1983
Solutions for systems of nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0414.35008
Rothe, F.
3
1979
A variant of Frobenius’ method for the Emden-Fowler equation. Zbl 0886.34006
Rothe, F.
2
1997
Hidden symmetry and bifurcation analysis of the Emden-Fowler equation. Zbl 0791.34031
Rothe, F.
2
1993
A priori estimates for reaction-diffusion systems. Zbl 0664.35050
Rothe, Franz
2
1988
An analogue to the Smale-Birkhoff homoclinic theorem for iterated entire mappings. Zbl 0809.58033
Rothe, Franz
1
1994
The bootstrap and feedback method for the nonlinear Poisson equation. Zbl 0817.35028
Rothe, F.
1
1994
Snapback repellers and semiconjugacy for iterated entire mappings. Global aspects of an old theorem of Poincaré. Zbl 0760.30009
Rothe, F.
1
1992
The energy-period function and perturbations of Hamiltonian systems in the plane. Zbl 0648.34049
Rothe, Franz
1
1987
A variant of Frobenius’ method for the Emden-Fowler equation. Zbl 0886.34006
Rothe, F.
2
1997
Boundedness and decay estimates for a class of reaction-diffusion systems on \(\mathbb{R}^ n\). Zbl 0815.35042
Avrin, Joel D.; Rothe, Franz
3
1994
An analogue to the Smale-Birkhoff homoclinic theorem for iterated entire mappings. Zbl 0809.58033
Rothe, Franz
1
1994
The bootstrap and feedback method for the nonlinear Poisson equation. Zbl 0817.35028
Rothe, F.
1
1994
Remarks on periods of planar Hamiltonian systems. Zbl 0769.34032
Rothe, Franz
14
1993
Hidden symmetry and bifurcation analysis of the Emden-Fowler equation. Zbl 0791.34031
Rothe, F.
2
1993
Multiple bifurcation in a predator-prey system with non-monotonic predator response. Zbl 0763.92011
Rothe, Franz; Shafer, Douglas S.
8
1992
A priori estimates for nonlinear Poisson equations and phase plane analysis of the Emden-Fowler equation. Zbl 0794.35058
Rothe, F.
3
1992
Snapback repellers and semiconjugacy for iterated entire mappings. Global aspects of an old theorem of Poincaré. Zbl 0760.30009
Rothe, F.
1
1992
A priori estimates for reaction-diffusion systems. Zbl 0664.35050
Rothe, Franz
2
1988
The energy-period function and perturbations of Hamiltonian systems in the plane. Zbl 0648.34049
Rothe, Franz
1
1987
The periods of the Volterra-Lotka system. Zbl 0547.92011
Rothe, Franz
30
1985
Thermodynamics, real and complex periods of the Volterra model. Zbl 0591.92017
Rothe, Franz
6
1985
Global solutions of reaction-diffusion systems. Zbl 0546.35003
Rothe, Franz
173
1984
Asymptotic behavior of a nonhomogeneous predator-prey system with one diffusing and one sedentary species. Zbl 0513.92019
Rothe, F.
3
1983
Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations. Zbl 0457.35043
Rothe, F.
21
1982
Convergence to pushed fronts. Zbl 0516.35013
Rothe, Franz
24
1981
Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology. Zbl 0471.35031
Rothe, Franz
15
1981
A singular perturbation analysis for a reaction-diffusion system describing pattern formation. Zbl 0452.35058
de Mottoni, P.; Rothe, F.
5
1980
Convergence to homogeneous equilibrium state for generalized Volterra- Lotka systems with diffusion. Zbl 0425.35055
De Mottoni, P.; Rothe, F.
48
1979
Stationary solutions of reaction-diffusion equations. Zbl 0424.35047
Hadeler, K. P.; Rothe, F.; Vogt, H.
11
1979
Some analytical results about a simple reaction-diffusion system for morphogenesis. Zbl 0399.35091
Rothe, Franz
7
1979
A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior. Zbl 0425.35017
Rothe, F.; De Mottoni, P.
5
1979
Solutions for systems of nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0414.35008
Rothe, F.
3
1979
Convergence to travelling fronts in semilinear parabolic equations. Zbl 0389.35024
Rothe, Franz
22
1978
Convergence to the equilibrium state in the Volterra-Lotka diffusion equations. Zbl 0355.92013
Rothe, F.
37
1976
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
90
1975
Nonhomogeneous spatial distributions of populations. Zbl 0315.92012
Hadeler, K. P.; an der Heiden, Uwe; Rothe, F.
11
1974
all top 5

Cited by 659 Authors

13 Rothe, Franz
11 Hamel, François
10 Fellner, Klemens
10 Marciniak-Czochra, Anna K.
9 Morgan, Jeff J.
8 Tang, Bao Quoc
8 Villadelprat, Jordi
7 Fitzgibbon, William Edward
6 Gasull, Armengol
6 Pierre, Michel
6 Shi, Junping
6 Suzuki, Takashi
6 Takagi, Izumi
5 Berestycki, Henri
5 Cao, Jinde
5 Desvillettes, Laurent
5 Li, Lige
5 Shukla, Jang Bahadur
5 Song, Qiankun
5 Volpert, Vitaly A.
5 Wang, Mingxin
4 Abdelmalek, Salem
4 Bendoukha, Samir
4 Bothe, Dieter
4 de Mottoni, Piero
4 Diekmann, Odo
4 Du, Yihong
4 Hadeler, Karl-Peter
4 Karch, Grzegorz
4 King, John Robert
4 Kirane, Mokhtar
4 Laamri, El Haj
4 Latos, Evangelos Antonios
4 Morgan, Jeffery J.
4 Ou, Chunhua
4 Roques, Lionel J.
4 Suzuki, Kanako
4 Temam, Roger Meyer
4 Waggoner, S. J.
4 Wei, Junjie
4 Zhao, Yulin
3 Balachandran, Krishnan
3 Brown, Kenneth J.
3 Escher, Joachim
3 Giletti, Thomas
3 Gnanavel, Soundararajan
3 Jung, Changyeol
3 Kimmel, Marek
3 Kishimoto, Kazuo
3 Kouachi, Said
3 Li, Wan-Tong
3 Lu, Junguo
3 Mañosas, Francesc
3 Nadirashvili, Nikolai S.
3 Ni, Wei-Ming
3 O’Dea, Reuben D.
3 Parshad, Rana D.
3 Rolland, Guillaume
3 Ruan, Shigui
3 Sabatini, Marco
3 Scheel, Arnd
3 Sherratt, Jonathan A.
3 Sun, Jianhua
3 Takeuchi, Yasuhiro
3 Trofimchuk, Sergei I.
3 Wan, Li
3 Wang, Jinfeng
3 Wang, Zhi Cheng
3 Yamada, Yoshio
3 Yi, Fengqi
3 Yin, Zhaoyang
3 Zanolin, Fabio
2 Ahn, Inkyung
2 Alaa, Noureddine
2 Alhasanat, Ahmad
2 Badraoui, Salah
2 Beauregard, Matthew A.
2 Benguria, Rafael D.
2 Bobrowski, Adam
2 Bonnefon, Olivier
2 Celiński, Rafał
2 Chen, Hongwei
2 Chen, Lansun
2 Chen, Shaohua
2 Chicone, Carmen C.
2 Chow, Pao-Liu
2 Cosner, Chris
2 Depassier, M. Cristina
2 dos Reis, Gonçalo
2 Ducrot, Arnaud
2 Engler, Hans
2 Fife, Paul C.
2 Fila, Marek
2 Franchi, Bruno
2 Gao, Peng
2 Garnier, Jimmy
2 Härting, Steffen
2 Hilhorst, Danielle
2 Hillen, Thomas
2 Hollis, Selwyn L.
...and 559 more Authors
all top 5

Cited in 121 Serials

53 Journal of Differential Equations
38 Journal of Mathematical Analysis and Applications
24 Journal of Mathematical Biology
24 Nonlinear Analysis. Theory, Methods & Applications
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Journal of Dynamics and Differential Equations
12 Mathematical Biosciences
12 Nonlinear Analysis. Real World Applications
11 Mathematical Methods in the Applied Sciences
10 Computers & Mathematics with Applications
10 Bulletin of Mathematical Biology
10 Discrete and Continuous Dynamical Systems. Series B
9 Chaos, Solitons and Fractals
9 SIAM Journal on Mathematical Analysis
8 Applicable Analysis
8 Applied Mathematics Letters
8 Communications in Partial Differential Equations
7 Proceedings of the American Mathematical Society
7 Physica D
7 Discrete and Continuous Dynamical Systems
6 Applied Mathematics and Computation
6 Theoretical Population Biology
5 Archive for Rational Mechanics and Analysis
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Transactions of the American Mathematical Society
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Japan Journal of Industrial and Applied Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Discrete and Continuous Dynamical Systems. Series S
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Mathematicae Applicatae Sinica. English Series
3 The Annals of Applied Probability
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Evolution Equations
3 Mediterranean Journal of Mathematics
3 Journal of Theoretical Biology
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Nonlinearity
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Studies in Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Applied Mathematical Modelling
2 Journal of Nonlinear Science
2 Annales Mathématiques Blaise Pascal
2 NoDEA. Nonlinear Differential Equations and Applications
2 Bulletin des Sciences Mathématiques
2 Journal of Mathematical Chemistry
2 Journal of Biological Dynamics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Wave Motion
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Optimization
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tohoku Mathematical Journal. Second Series
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Chinese Annals of Mathematics. Series B
1 Probability Theory and Related Fields
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Aequationes Mathematicae
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Advances in Computational Mathematics
1 Complexity
1 Journal of Difference Equations and Applications
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Chaos
1 Fractional Calculus & Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Communications in Nonlinear Science and Numerical Simulation
1 Qualitative Theory of Dynamical Systems
1 Journal of Nonlinear Mathematical Physics
1 Dynamical Systems
1 Advanced Nonlinear Studies
...and 21 more Serials

Citations by Year