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Peletier, Lambertus Adrianus

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Author ID: peletier.lambertus-adrianus Recent zbMATH articles by "Peletier, Lambertus Adrianus"
Published as: Peletier, L. A.; Peletier, Lambertus A.; Peletier, Bert; Peletier, Lambertus Adrianus; Peletier, Lambertus-Adrianus; Peletier, L.; Peletier, Lambert A.; Peletier, Lambertus; Peletier, L. A
Homepage: http://www.math.leidenuniv.nl/~peletier/
External Links: MGP · Wikidata · IdRef
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Co-Authors

26 single-authored
21 Troy, William C.
18 Atkinson, Frederick Valentine
17 Bertsch, Michiel
13 Hilhorst, Danielle
13 Serrin, James
11 Kamin, Shoshana
11 Vazquez, Juan Luis
9 van Duijn, Cornelis Johannes
6 Brézis, Haïm
6 Clément, Philippe J. E.
6 Edmunds, David Eric
6 McLeod, John Bryce
6 van der Graaf, Piet H.
6 van der Hout, Rein
5 Merle, Frank
5 Tesei, Alberto
4 Aronson, Donald G.
4 Bandle, Catherine
4 Benson, Neil
4 de Mottoni, Piero
4 Fife, Paul C.
4 Gilding, Brian H.
4 Gurtin, Morton Edward
4 Ni, Wei-Ming
4 Novick-Cohen, Amy
3 Ball, John MacLeod
3 Berestycki, Henri
3 Brör, L. J. F.
3 Craven, A. H.
3 Gabrielsson, Johan
3 Hulshof, Josephus
3 Kersner, Robert
2 Bakshi, Suruchi
2 Bansal, Loveleena
2 Bernis, Francisco
2 Bessant, Christina
2 Biedzka-Sarek, Marta
2 Browder, Felix Earl
2 Budd, Christopher John
2 Chaparova, Julia V.
2 Cunningham, Fraser
2 De Graaf, J. M.
2 Diekmann, Odo
2 Galaktionov, Victor Aleksandrovich
2 Grundy, R. E.
2 Hale, Jack Kenneth
2 Hastings, Stuart P.
2 Knaap, Mariette C.
2 Mizel, Victor J.
2 Neisen, Jessica
2 Nguyen, Hoai-Minh
2 Nichols, Eva-Maria
2 Nirenberg, Louis
2 Pauwelussen, J. P.
2 Petit-Frere, Sebastien
2 Pop, Iuliu Sorin
2 Rodríguez, José Antonio
2 Rotariu-Bruma, A. I.
2 Rottschäfer, Vivi
2 Tersian, Stepan Agop
2 Vandervorst, Robertus C. A. M.
2 Véron, Laurent
2 Zamuner, Stefano
2 Zhao, Junning
1 Angenent, Sigurd Bernardus
1 Baillon, J. C.
1 Beretta, Elena
1 Berezovskiĭ, Arnol’d Anatol’evich
1 Chadam, John M.
1 Claudi, S.
1 Conley, Elizabeth
1 Crandall, Michael G.
1 Dancer, Edward Norman
1 Dang, Ha
1 Danhof, Meindert
1 Dawson, Donald Andrew
1 De Winter, Willem
1 den Decker, P.
1 Doelman, Arjen
1 Ebert, Ute
1 Efendiev, Messoud
1 Ewer, J. P. G.
1 Eymard, Robert
1 Farina, Alberto
1 Fleischmann, Klaus
1 Foley, Robert D.
1 Franchi, Bruno
1 Friedman, Avner
1 Gardner, Robert
1 Gazzola, Filippo
1 Greenspan, Harvey P.
1 Jiang, Xiling
1 Kaper, Tasso J.
1 Kawohl, Bernd
1 Kuske, Rachel A.
1 Kwong, Man Kam
1 Leoni, Giovanni
1 Levine, Howard Allen
1 Li, Zhengynan
1 Li, Zhengyuan
...and 33 more Co-Authors
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Serials

22 Archive for Rational Mechanics and Analysis
15 Journal of Differential Equations
12 Nonlinear Analysis. Theory, Methods & Applications
11 Journal of Mathematical Analysis and Applications
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Differential and Integral Equations
7 European Journal of Applied Mathematics
6 Applied Mathematics Letters
6 Comptes Rendus de l’Académie des Sciences. Série I
5 SIAM Journal on Mathematical Analysis
4 Applied Scientific Research
4 Journal of Mathematical Biology
4 Asymptotic Analysis
4 SIAM Journal on Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Quarterly Journal of Mechanics and Applied Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Indiana University Mathematics Journal
3 Journal of the London Mathematical Society. Second Series
2 Israel Journal of Mathematics
2 Bulletin of Mathematical Biology
2 Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 CWI Quarterly
2 Journal of Dynamics and Differential Equations
2 Discrete and Continuous Dynamical Systems
2 RIMS Kokyuroku
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Mathematical Sciences Research Institute Publications
2 Progress in Nonlinear Differential Equations and Their Applications
1 Journal d’Analyse Mathématique
1 Mathematical Biosciences
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Rendiconti del Seminario Matematico della Università di Padova
1 Advances in Applied Mathematics
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Communications in Partial Differential Equations
1 Nieuw Archief voor Wiskunde. Derde Serie
1 Notices of the American Mathematical Society
1 Topological Methods in Nonlinear Analysis
1 Journal of Mathematical Sciences. University of Tokyo
1 Advances in Differential Equations
1 Computational Geosciences
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 SIAM Journal on Applied Dynamical Systems
1 Bollettino della Unione Matematica Italiana. Series IV
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Journal of Mathematics and Physics
1 Contemporary Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Applied Scientific Research, Section B
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

191 Publications have been cited 3,793 times in 2,574 Documents Cited by Year
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
243
1982
An ODE approach to the existence of positive solutions for semilinear problems in \(R^ n\). Zbl 0522.35036
Berestycki, Henri; Lions, Pierre-Louis; Peletier, L. A.
125
1981
Large time behaviour of solutions of the porous medium equation in bounded domains. Zbl 0475.35059
Aronson, D. G.; Peletier, L. A.
118
1981
A very singular solution of the heat equation with absorption. Zbl 0627.35046
Brézis, Haïm; Peletier, L. A.; Terman, D.
106
1986
Uniqueness of positive solutions of semilinear equations in \(R^ n\). Zbl 0516.35031
Peletier, L. A.; Serrin, J.
92
1983
Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515
Peletier, L. A.; Troy, W. C.
84
2001
A class of similarity solutions of the nonlinear diffusion equation. Zbl 0394.34016
van Duyn, C. J.; Peletier, L. A.
71
1977
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
62
1999
Elliptic equations with nearly critical growth. Zbl 0657.35058
Atkinson, F. V.; Peletier, L. A.
62
1987
An anti-maximum principle for second order elliptic operators. Zbl 0387.35025
Clement, Ph.; Peletier, L. A.
62
1979
Nonstationary filtration in partially saturated porous media. Zbl 0502.76101
van Duyn, C. J.; Peletier, L. A.
59
1982
The porous media equation. Zbl 0497.76083
Peletier, L. A.
57
1981
Stable transition layers in a semilinear boundary value problem. Zbl 0634.35041
Angenent, S. B.; Mallet-Paret, John; Peletier, L. A.
56
1987
The Cauchy problem for an equation in the theory of infiltration. Zbl 0336.76037
Gilding, B. H.; Peletier, L. A.
56
1976
Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\). Zbl 0577.35035
Peletier, L. A.; Serrin, James
56
1986
Emden-Fowler equations involving critical exponents. Zbl 0662.34024
Atkinson, F. V.; Peletier, L. A.
55
1986
Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation. Zbl 0758.35029
Peletier, L. A.; van der Vorst, R. C. A. M.
52
1992
Saddle solutions of the bistable diffusion equation. Zbl 0764.35048
Dang, Ha; Fife, Paul C.; Peletier, L. A.
51
1992
Pattern selection of solutions of the Swift–Hohenberg equation. Zbl 1052.35076
Peletier, Lambertus A.; Rottschäfer, Vivi
49
2004
Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions. Zbl 0891.34048
Peletier, L. A.; Troy, W. C.
48
1997
Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056
Bernis, F.; Peletier, L. A.; Williams, S. M.
48
1992
Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099
Atkinson, F. V.; Brézis, Haïm; Peletier, L. A.
48
1990
On a class of similarity solutions of the porous media equation. Zbl 0356.35049
Gilding, B. H.; Peletier, L. A.
48
1976
Large time behaviour of solutions of the heat equation with absorption. Zbl 0598.35050
Kamin, S.; Peletier, L. A.
44
1985
Stationary solutions of a fourth order nonlinear diffusion equation. Zbl 0856.35029
Peletier, L. A.; Troy, W. C.; van der Vorst, R. C. A. M.
43
1995
Positivity versus localization in degenerate diffusion equations. Zbl 0596.35073
Bertsch, M.; Kersner, R.; Peletier, L. A.
43
1985
A new class of entropy solutions of the Buckley-Leverett equation. Zbl 1149.35054
van Duijn, C. J.; Peletier, L. A.; Pop, I. S.
43
2007
Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033
Bernis, F.; Peletier, L. A.
41
1996
Large time behaviour of solutions of the porous media equation with absorption. Zbl 0625.35048
Kamin, S.; Peletier, L. A.
41
1986
A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation. Zbl 0862.34030
Peletier, L. A.; Troy, W. C.
39
1995
Similarity solutions of the nonlinear diffusion equation. Zbl 0293.35039
Atkinson, F. V.; Peletier, L. A.
39
1974
Source-type solutions of degenerate diffusion equations with absorption. Zbl 0581.35035
Kamin, S.; Peletier, L. A.
35
1985
On interacting populations that disperse to avoid crowding: preservation of segregation. Zbl 0596.35074
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
34
1985
Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037
Hale, J. K.; Peletier, L. A.; Troy, W. C.
34
2000
On a class of similarity solutions of the porous media equation. II. Zbl 0365.35029
Gilding, B. H.; Peletier, L. A.
34
1977
Singular solutions of the heat equation with absorption. Zbl 0607.35046
Kamin, S.; Peletier, L. A.
33
1985
Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation. Zbl 0862.34012
Peletier, L. A.; Troy, W. C.
32
1996
On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034
Peletier, L. A.; Terman, D.; Weissler, F. B.
32
1986
A very singular solution of the porous media equation with absorption. Zbl 0617.35115
Peletier, L. A.; Terman, D.
32
1986
Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks. Zbl 0826.34056
Peletier, L. A.; Troy, W. C.
31
1995
Nonlinear diffusion in population genetics. Zbl 0361.92020
Fife, P. C.; Peletier, L. A.
31
1977
Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation. Zbl 0606.35029
Atkinson, F. V.; Peletier, L. A.
30
1986
Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation. Zbl 0983.34032
van den Berg, G. J. B.; Peletier, L. A.; Troy, W. C.
29
2001
Travelling wave solutions for degenerate pseudo-parabolic equations modelling two-phase flow in porous media. Zbl 1261.35125
van Duijn, C. J.; Fan, Y.; Peletier, L. A.; Pop, I. S.
28
2013
On the Barenblatt equation of elasto-plastic filtration. Zbl 0737.73048
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
27
1991
Spatial patterns in higher order phase transitions. Zbl 0872.34032
Peletier, L. A.; Troy, W. C.
27
1996
Positive solutions of elliptic equations involving supercritical growth. Zbl 0742.35025
Merle, F.; Peletier, L. A.
27
1991
Solutions d’équations elliptiques avec exposant de Sobolev critique qui changent de signe. (Nodal solutions of elliptic equations with critical Sobolev exponents). Zbl 0696.35059
Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A.
27
1988
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
27
2007
The fast reaction limit for a reaction-diffusion system. Zbl 0865.35063
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
26
1996
Observations on blow up and dead cores for nonlinear parabolic equations. Zbl 0661.35053
Kawohl, B.; Peletier, L.
25
1989
Classification of singular solutions of a nonlinear heat equation. Zbl 0701.35083
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
25
1989
Large time behaviour of solutions of the Swift-Hohenberg equation. Zbl 1031.35072
Peletier, Lambertus A.; Rottschäfer, Vivi
24
2003
Ground states for the prescribed mean curvature equation. Zbl 0632.35004
Peletier, L. A.; Serrin, J.
24
1987
Similarity profiles of flows through porous media. Zbl 0249.35043
Atkinson, F. V.; Peletier, L. A.
23
1971
Large time behaviour of solutions of the porous media equation with absorption: The fast diffusion case. Zbl 0762.35054
Peletier, L. A.; Zhao, Junning
23
1991
Decay of solutions of a degenerate nonlinear diffusion equation. Zbl 0487.35051
Bertsch, M.; Peletier, L. A.; Nanbu, T.
23
1982
A necessary and sufficient condition for the existence of an interface in flows through porous media. Zbl 0294.35040
Peletier, L. A.
23
1974
Elliptic equations with critical exponent on spherical caps of \(S^{3}\). Zbl 1151.35035
Brezis, H.; Peletier, L. A.
23
2006
Periodic phases in second-order materials. Zbl 0931.74006
Mizel, V. J.; Peletier, L. A.; Troy, W. C.
22
1998
The set of positive solutions of semilinear equations in large balls. Zbl 0625.35030
Gardner, R.; Peletier, L. A.
22
1986
Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions. Zbl 0733.35038
Budd, C.; Knaap, M. C.; Peletier, L. A.
22
1991
Asymptotics of the fast-diffusion equation with critical exponent. Zbl 0954.35094
Galaktionov, Victor A.; Peletier, Lambertus A.; Vazquez, Juan L.
21
2000
Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\). Zbl 0657.35057
Atkinson, F. V.; Peletier, L. A.
21
1986
An elliptic-parabolic free boundary problem. Zbl 0624.35081
Hulshof, J.; Peletier, L. A.
21
1986
Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034
Hale, J. K.; Peletier, L. A.; Troy, W. C.
20
1999
Asymptotics for elliptic equations involving critical growth. Zbl 0685.35013
Brézis, Haïm; Peletier, Lambertus A.
20
1989
Nonlinear diffusion in the presence of fast reaction. Zbl 0963.35103
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
19
2000
Asymptotic behaviour near finite-time extinction for the fast diffusion equation. Zbl 0885.35058
Galaktionov, Victor A.; Peletier, Lambertus A.
19
1997
On ground state solutions of \(-\Delta{} u=u^ p-u^ q\). Zbl 0778.35039
Kwong, M. K.; McLeod, J. B.; Peletier, L. A.; Troy, W. C.
19
1992
Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case. Zbl 0719.35004
Merle, F.; Peletier, L. A.
19
1990
On interacting populations that disperse to avoid crowding: The effect of a sedentary colony. Zbl 0538.92020
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
19
1984
Steady states of the one-dimensional Cahn-Hilliard equation. Zbl 0818.35127
Novick-Cohen, A.; Peletier, L. A.
18
1993
Best Sobolev constants and Emden equations for the critical exponent in \(S^3\). Zbl 0932.49023
Bandle, C.; Peletier, L. A.
16
1999
Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II: The nonradial case. Zbl 0771.35008
Merle, F.; Peletier, L. A.
16
1992
Source-type solutions of the porous media equation with absorption: The fast diffusion case. Zbl 0702.35134
Peletier, L. A.; Zhao, Junning
16
1990
Degenerate diffusion and the Stefan problem. Zbl 0562.35049
Bertsch, M.; De Mottoni, P.; Peletier, L. A.
16
1984
Clines induced by variable migration. Zbl 0437.92019
Fife, P. C.; Peletier, L. A.
15
1980
The asymptotic profile of solutions of degenerate diffusion equations. Zbl 0597.35065
Bertsch, M.; Peletier, L. A.
14
1986
Diffusion in the presence of fast reaction: The case of a general monotone reaction term. Zbl 0905.35045
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
14
1997
Quasilinear elliptic equations with nearly critical growth. Zbl 0696.35052
Knaap, M. C.; Peletier, L. A.
14
1989
A very singular solution of a quasilinear degenerate diffusion equation with absorption. Zbl 0696.35094
Peletier, L. A.; Wang, Junyu
14
1988
A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030
Edmunds, D. E.; Peletier, L. A.
13
1972
On the uniqueness of solutions of the Falkner-Skan equation. Zbl 0259.34023
Craven, A. H.; Peletier, L. A.
13
1972
Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042
Atkinson, F. V.; Peletier, L. A.
12
1988
Reverse flow solutions of the Falkner-Skan equation for \(\lambda >1\). Zbl 0259.34024
Craven, A. H.; Peletier, L. A.
12
1972
Existence and nonexistence of nontrivial solutions of semilinear fourth- and sixth-order differential equations. Zbl 1126.34316
Chaparova, Julia V.; Peletier, Lambertus A.; Tersian, Stepan A.
12
2003
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
11
1988
\(\Gamma\)-limit for the extended Fisher-Kolmogorov equation. Zbl 1001.35010
Hilhorst, D.; Peletier, L. A.; Schätzle, R.
11
2002
Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044
Bandle, C.; Peletier, L. A.
11
1988
A nonlinear diffusion-absorption equation with unbounded initial data. Zbl 0792.35081
Kamin, S.; Peletier, L. A.; Vázquez, J. L.
11
1992
Continuity of solutions of the porous media equation. Zbl 0481.35026
Gilding, B. H.; Peletier, L. A.
11
1981
A positivity property of solutions of nonlinear diffusion equations. Zbl 0488.35041
Bertsch, M.; Peletier, L. A.
11
1984
On the asymptotic behavior of solutions of semilinear parabolic equations. Zbl 0295.35044
Ewer, J. P. G.; Peletier, L. A.
11
1975
Global stability of symmetric and asymmetric concentration profiles in catalyst particles. Zbl 0318.35050
Aronson, D. G.; Peletier, L. A.
11
1974
Gradient bounds and Liouville theorems for quasilinear elliptic equations. Zbl 0383.35025
Peletier, L. A.; Serrin, J.
11
1978
Multibump periodic travelling waves in suspension bridges. Zbl 0909.35143
Peletier, L. A.; Troy, W. C.
10
1998
Global bifurcation and attractivity of stationary solutions of a degenerate diffusion equation. Zbl 0624.35006
Peletier, L. A.; Tesei, A.
10
1986
Homoclinic orbits to a saddle-center in a fourth-order differential equation. Zbl 1080.34030
Peletier, Lambertus A.; Rodríguez, José Antonio
10
2004
Stabilization of concentration profiles in catalyst particles. Zbl 0314.35053
Ball, J. M.; Peletier, L. A.
10
1976
Topics in mathematical pharmacology. Zbl 1350.92029
van der Graaf, Piet H.; Benson, Neil; Peletier, Lambertus A.
6
2016
Challenges in pharmacology modelling. Zbl 1381.92038
Peletier, Lambertus A.; Gabrielsson, Johan
2
2015
Travelling wave solutions for degenerate pseudo-parabolic equations modelling two-phase flow in porous media. Zbl 1261.35125
van Duijn, C. J.; Fan, Y.; Peletier, L. A.; Pop, I. S.
28
2013
Dynamics of target-mediated drug disposition: how a drug reaches its target. Zbl 1392.92034
Peletier, L. A.; Gabrielsson, J.
6
2013
Cross-membrane signal transduction of receptor tyrosine kinases (RTKs): from systems biology to systems pharmacology. Zbl 1329.92048
Benson, Neil; van der Graaf, Piet H.; Peletier, Lambertus A.
2
2013
Impact of plasma-protein binding on receptor occupancy: an analytical description. Zbl 1400.92232
Peletier, Lambertus A.; Benson, Neil; van der Graaf, Piet H.
4
2009
Monotonicity of the peak time in turnover models. Zbl 1160.92332
Nguyen, Hoai-Minh; Peletier, Lambertus A.
1
2009
Monotonicity of time to peak response with respect to drug dose for turnover models. Zbl 1240.34244
Nguyen, Hoai-Minh; Peletier, Lambertus A.
1
2009
A new class of entropy solutions of the Buckley-Leverett equation. Zbl 1149.35054
van Duijn, C. J.; Peletier, L. A.; Pop, I. S.
43
2007
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
27
2007
On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors. Zbl 1109.35019
Efendiev, M. A.; Peletier, L. A.
5
2007
Perspectives in nonlinear partial differential equations in honor of Haïm Brezis. Based on the conference celebration of Haïm Brezis’ 60th birthday, June 21–25, 2004. Zbl 1126.00013
1
2007
Elliptic equations with critical exponent on spherical caps of \(S^{3}\). Zbl 1151.35035
Brezis, H.; Peletier, L. A.
23
2006
Homoclinic bifurcations at the onset of pulse self-replication. Zbl 1217.34074
Doelman, Arjen; Kaper, Tasso J.; Peletier, Lambertus A.
6
2006
Nonlinear eigenvalue problems for higher-order model equations. Zbl 1198.34023
Peletier, L. A.
2
2006
A singular perturbation problem for a fourth order ordinary differential equation. Zbl 1096.34034
Kuske, R.; Peletier, L. A.
1
2005
Best Sobolev constants and quasi-linear elliptic equations with critical growth on spheres. Zbl 1330.35166
Bandle, C.; Peletier, L. A.; Stingelin, S.
1
2005
Pattern selection of solutions of the Swift–Hohenberg equation. Zbl 1052.35076
Peletier, Lambertus A.; Rottschäfer, Vivi
49
2004
Homoclinic orbits to a saddle-center in a fourth-order differential equation. Zbl 1080.34030
Peletier, Lambertus A.; Rodríguez, José Antonio
10
2004
Existence and nonexistence of nontrivial solutions of semilinear sixth-order ordinary differential equations. Zbl 1122.34305
Chaparova, J. V.; Peletier, L. A.; Tersian, S. A.
8
2004
Elliptic equations with critical exponent on \(S^3\): new non-minimising solutions. Zbl 1081.35028
Brezis, Haïm; Peletier, Lambertus A.
8
2004
Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation. Zbl 1060.35021
Hilhorst, D.; Peletier, L. A.; Rotariu, A. I.; Sivashinsky, G.
6
2004
Large time behaviour of solutions of the Swift-Hohenberg equation. Zbl 1031.35072
Peletier, Lambertus A.; Rottschäfer, Vivi
24
2003
Existence and nonexistence of nontrivial solutions of semilinear fourth- and sixth-order differential equations. Zbl 1126.34316
Chaparova, Julia V.; Peletier, Lambertus A.; Tersian, Stepan A.
12
2003
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041
Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James
4
2003
\(\Gamma\)-limit for the extended Fisher-Kolmogorov equation. Zbl 1001.35010
Hilhorst, D.; Peletier, L. A.; Schätzle, R.
11
2002
Universal algebraic convergence in time of pulled fronts: The common mechanism for difference-differential and partial differential equations. Zbl 1013.35081
Ebert, Ute; van Saarloos, Wim; Peletier, Bert
3
2002
Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515
Peletier, L. A.; Troy, W. C.
84
2001
Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation. Zbl 0983.34032
van den Berg, G. J. B.; Peletier, L. A.; Troy, W. C.
29
2001
A reaction-diffusion system approximation of a one-phase Stefan problem. Zbl 1054.35019
Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A.
9
2001
Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037
Hale, J. K.; Peletier, L. A.; Troy, W. C.
34
2000
Asymptotics of the fast-diffusion equation with critical exponent. Zbl 0954.35094
Galaktionov, Victor A.; Peletier, Lambertus A.; Vazquez, Juan L.
21
2000
Nonlinear diffusion in the presence of fast reaction. Zbl 0963.35103
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
19
2000
Pattern formation described by the Swift-Hohenberg equation. Zbl 1058.35528
Peletier, L. A.; Troy, W. C.
4
2000
A free boundary problem involving convection and singular absorption. Zbl 0952.34016
Claudi, S.; Peletier, L. A.; Tesei, A.
2
2000
Pulses, kinks and fronts in the Gray-Scott model. Zbl 1058.80516
Peletier, L. A.
1
2000
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
62
1999
Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034
Hale, J. K.; Peletier, L. A.; Troy, W. C.
20
1999
Best Sobolev constants and Emden equations for the critical exponent in \(S^3\). Zbl 0932.49023
Bandle, C.; Peletier, L. A.
16
1999
The Cauchy problem for the extended Fisher-Kolmogorov equation. Zbl 0937.35083
Peletier, L. A.; Pokhozhaev, S. I.
1
1999
Periodic phases in second-order materials. Zbl 0931.74006
Mizel, V. J.; Peletier, L. A.; Troy, W. C.
22
1998
Multibump periodic travelling waves in suspension bridges. Zbl 0909.35143
Peletier, L. A.; Troy, W. C.
10
1998
Pulse-like spatial patterns described by higher-order model equations. Zbl 0920.34048
Peletier, L. A.; Rotariu-Bruma, A. I.; Troy, W. C.
7
1998
Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions. Zbl 0891.34048
Peletier, L. A.; Troy, W. C.
48
1997
Asymptotic behaviour near finite-time extinction for the fast diffusion equation. Zbl 0885.35058
Galaktionov, Victor A.; Peletier, Lambertus A.
19
1997
Diffusion in the presence of fast reaction: The case of a general monotone reaction term. Zbl 0905.35045
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
14
1997
Two problems from draining flows involving third-order ordinary differential equations. Zbl 0845.34033
Bernis, F.; Peletier, L. A.
41
1996
Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation. Zbl 0862.34012
Peletier, L. A.; Troy, W. C.
32
1996
Spatial patterns in higher order phase transitions. Zbl 0872.34032
Peletier, L. A.; Troy, W. C.
27
1996
The fast reaction limit for a reaction-diffusion system. Zbl 0865.35063
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
26
1996
On the location of defects in stationary solutions of the Ginzburg-Landau equation in \(\mathbb{R}^ 2\). Zbl 0848.35042
Fife, P. C.; Peletier, L. A.
8
1996
On an ODE from forced coating flow. Zbl 0919.34020
Beretta, E.; Hulshof, J.; Peletier, L. A.
6
1996
Stationary solutions of a fourth order nonlinear diffusion equation. Zbl 0856.35029
Peletier, L. A.; Troy, W. C.; van der Vorst, R. C. A. M.
43
1995
A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation. Zbl 0862.34030
Peletier, L. A.; Troy, W. C.
39
1995
Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks. Zbl 0826.34056
Peletier, L. A.; Troy, W. C.
31
1995
A very singular solution and other self-similar solutions of the heat equation with convection. Zbl 0824.35058
Peletier, L. A.; Serafini, H. C.
6
1995
A bifurcation problem at a singular limit. Zbl 0810.35004
Merle, F.; Peletier, L. A.; Serrin, J.
5
1994
Self-similar solutions for diffusion in semiconductors. Zbl 0811.35146
Peletier, L. A.; Troy, W. C.
2
1994
Steady states of the one-dimensional Cahn-Hilliard equation. Zbl 0818.35127
Novick-Cohen, A.; Peletier, L. A.
18
1993
Asymptotics for semilinear elliptic equations with supercritical nonlinearities in annular domains. Zbl 0779.35014
Budd, C. J.; Peletier, L. A.
1
1993
On the analysis of brine transport in porous media. Zbl 0787.76085
van Duijn, C. J.; Peletier, L. A.; Schotting, R. J.
1
1993
Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation. Zbl 0758.35029
Peletier, L. A.; van der Vorst, R. C. A. M.
52
1992
Saddle solutions of the bistable diffusion equation. Zbl 0764.35048
Dang, Ha; Fife, Paul C.; Peletier, L. A.
51
1992
Source type solutions of a fourth order nonlinear degenerate parabolic equation. Zbl 0778.35056
Bernis, F.; Peletier, L. A.; Williams, S. M.
48
1992
On ground state solutions of \(-\Delta{} u=u^ p-u^ q\). Zbl 0778.35039
Kwong, M. K.; McLeod, J. B.; Peletier, L. A.; Troy, W. C.
19
1992
Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II: The nonradial case. Zbl 0771.35008
Merle, F.; Peletier, L. A.
16
1992
A nonlinear diffusion-absorption equation with unbounded initial data. Zbl 0792.35081
Kamin, S.; Peletier, L. A.; Vázquez, J. L.
11
1992
A comparison principle for the porous media equation with absorption. Zbl 0762.35053
Li, Zhengyuan; Peletier, L. A.
9
1992
The steady states of one-dimensional Sivashinsky equations. Zbl 0764.35094
Novick-Cohen, A.; Peletier, L. A.
8
1992
Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
3
1992
The steady states of the one-dimensional Cahn-Hilliard equation. Zbl 0770.35036
Novick-Cohen, A.; Peletier, L. A.
3
1992
A boundary-layer problem in fresh-salt groundwater flow. Zbl 0743.76079
van Duijn, C. J.; Peletier, L. A.
2
1992
On a self-similar solution for the decay of turbulent bursts. Zbl 0769.76025
Hastings, S. P.; Peletier, L. A.
1
1992
How the interface approaches the boundary in the Dead Core Problem. Zbl 0752.35090
van Duijn, C. J.; Peletier, L. A.
1
1992
On the Barenblatt equation of elasto-plastic filtration. Zbl 0737.73048
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
27
1991
Positive solutions of elliptic equations involving supercritical growth. Zbl 0742.35025
Merle, F.; Peletier, L. A.
27
1991
Large time behaviour of solutions of the porous media equation with absorption: The fast diffusion case. Zbl 0762.35054
Peletier, L. A.; Zhao, Junning
23
1991
Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions. Zbl 0733.35038
Budd, C.; Knaap, M. C.; Peletier, L. A.
22
1991
The effect of temperature dependent viscosity on shear flow of incompressible fluids. Zbl 0735.35099
Bertsch, M.; Peletier, L. A.; Verduyn Lunel, Sjoerd M.
9
1991
Self-similar solutions for infiltration of dopant into semiconductors. Zbl 0752.35029
Peletier, L. A.; Troy, W. C.
3
1991
Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption. Zbl 0725.34005
McLeod, J. B.; Peletier, L. A.; Vazquez, J. L.
3
1991
The steady states of one dimensional Sivashinsky equations. Zbl 0724.65123
Novick-Cohen, A.; Peletier, L. A.
1
1991
Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099
Atkinson, F. V.; Brézis, Haïm; Peletier, L. A.
48
1990
Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case. Zbl 0719.35004
Merle, F.; Peletier, L. A.
19
1990
Source-type solutions of the porous media equation with absorption: The fast diffusion case. Zbl 0702.35134
Peletier, L. A.; Zhao, Junning
16
1990
The initial interface development for a reaction-diffusion equation with power-law initial data. Zbl 0732.76079
Grundy, R. E.; Peletier, L. A.
3
1990
Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents. Zbl 0767.34039
Atkinson, F. V.; Peletier, L. A.
2
1990
Observations on blow up and dead cores for nonlinear parabolic equations. Zbl 0661.35053
Kawohl, B.; Peletier, L.
25
1989
Classification of singular solutions of a nonlinear heat equation. Zbl 0701.35083
Kamin, S.; Peletier, L. A.; Vazquez, J. L.
25
1989
Asymptotics for elliptic equations involving critical growth. Zbl 0685.35013
Brézis, Haïm; Peletier, Lambertus A.
20
1989
Quasilinear elliptic equations with nearly critical growth. Zbl 0696.35052
Knaap, M. C.; Peletier, L. A.
14
1989
Observations on Moser’s inequality. Zbl 0687.46017
McLeod, J. B.; Peletier, L. A.
8
1989
Bounds for vertical points of solutions of prescribed mean curvature type equations. I. Zbl 0685.35022
Atkinson, F. V.; Peletier, L. A.
3
1989
Free boundary eigenfunctions for a nonlinear degenerate eigenvalue problem. Zbl 0655.35064
de Mottoni, P.; Peletier, L. A.; Tesei, A.
1
1989
Solutions d’équations elliptiques avec exposant de Sobolev critique qui changent de signe. (Nodal solutions of elliptic equations with critical Sobolev exponents). Zbl 0696.35059
Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A.
27
1988
A very singular solution of a quasilinear degenerate diffusion equation with absorption. Zbl 0696.35094
Peletier, L. A.; Wang, Junyu
14
1988
Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042
Atkinson, F. V.; Peletier, L. A.
12
1988
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
11
1988
Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044
Bandle, C.; Peletier, L. A.
11
1988
On nonexistence of similarity solutions. Zbl 0673.35045
Peletier, L. A.; Troy, W. C.
3
1988
...and 91 more Documents
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Cited by 2,485 Authors

90 Peletier, Lambertus Adrianus
48 Vazquez, Juan Luis
38 Wei, Juncheng
25 Agarwal, Ravi P.
24 Wong, Patricia J. Y.
21 Bertsch, Michiel
21 Galaktionov, Victor Aleksandrovich
19 Yin, Jingxue
18 Hilhorst, Danielle
17 Tesei, Alberto
16 Gilding, Brian H.
16 Weissler, Fred B.
15 Hulshof, Josephus
15 Véron, Laurent
15 Zheng, Sining
14 Yan, Shusen
13 Adimurthi, A.
13 Bandle, Catherine
13 Kamin, Shoshana
13 Punzo, Fabio
12 Diaz Diaz, Jesus Ildefonso
11 Dancer, Edward Norman
11 Huang, Feimin
11 Iagar, Razvan Gabriel
11 Kowalczyk, Michał
11 Pao, Chia-Ven
11 Troy, William C.
11 Winkler, Michael
11 Yang, Zuodong
10 Bonheure, Denis
10 Castro, Alfonso
10 Clément, Philippe J. E.
10 Dolbeault, Jean
10 Grillo, Gabriele
10 Korman, Philip L.
10 Mimura, Masayasu
10 Peng, Shuangjie
10 Rachůnková, Irena
10 Serrin, James
10 Souplet, Philippe
10 Swanson, Charles A.
10 van Duijn, Cornelis Johannes
9 Abdulla, Ugur G.
9 Afrouzi, Ghasem Alizadeh
9 Bonforte, Matteo
9 Del Pino, Manuel A.
9 Felmer, Patricio L.
9 Fila, Marek
9 Filo, Ján
9 García-Huidobro, Marta
9 Ge, Weigao
9 Kaikina, Elena Igorevna
9 Kwong, Man Kam
9 Laurençot, Philippe
9 Liu, Yong
9 Marcus, Moshe M.
9 Mu, Chunlai
9 Sánchez, Ariel
9 Wang, Mingxin
8 Alikakos, Nicholas D.
8 Atkinson, Frederick Valentine
8 Cortázar, Carmen
8 Du, Yihong
8 Escobedo Martínez, Miguel
8 Fleckinger, Jacqueline
8 Gao, Hongjun
8 Han, Yuzhu
8 Miyamoto, Yasuhito
8 Nagylaki, Thomas
8 Novick-Cohen, Amy
8 Pan, Jiaqing
8 Pan, Xingbin
8 Peletier, Mark Adriaan
8 Pop, Iuliu Sorin
8 Qi, Yuanwei
8 Quirós Gracián, Fernando
8 Rohde, Christian
8 Rossi, Julio Daniel
8 Shi, Junping
8 Sweers, Guido H.
8 Tersian, Stepan Agop
8 Xu, Xiangsheng
8 Yadava, S. L.
7 Brézis, Haïm
7 Cao, Yang
7 Carrillo de la Plata, José Antonio
7 Choi, Yuncherl
7 Dal Passo, Roberta
7 de Mottoni, Piero
7 de Pablo, Arturo
7 Deng, Shengfu
7 Ferreira, Raúl
7 Gao, Wenjie
7 Gazzola, Filippo
7 Guo, Zongming
7 Hsu, Shu-Yu
7 Hui, Kin Ming
7 Kersner, Robert
7 King, John Robert
7 Kwak, Minkyu
...and 2,385 more Authors
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Cited in 321 Serials

280 Journal of Differential Equations
184 Journal of Mathematical Analysis and Applications
163 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
99 Nonlinear Analysis. Theory, Methods & Applications
60 Archive for Rational Mechanics and Analysis
58 Communications in Partial Differential Equations
54 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
47 Transactions of the American Mathematical Society
46 Calculus of Variations and Partial Differential Equations
45 Applied Mathematics and Computation
42 Applied Mathematics Letters
39 Computers & Mathematics with Applications
38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
34 Discrete and Continuous Dynamical Systems
32 Journal of Functional Analysis
31 Journal of Computational and Applied Mathematics
30 Annali di Matematica Pura ed Applicata. Serie Quarta
30 Physica D
29 Applicable Analysis
27 Proceedings of the American Mathematical Society
27 Nonlinear Analysis. Real World Applications
27 Boundary Value Problems
24 NoDEA. Nonlinear Differential Equations and Applications
23 European Journal of Applied Mathematics
23 Journal of Dynamics and Differential Equations
22 Journal of Mathematical Biology
22 Mathematical Methods in the Applied Sciences
20 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
19 Mathematische Annalen
18 Communications in Mathematical Physics
18 Journal of Mathematical Physics
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Acta Mathematicae Applicatae Sinica. English Series
17 SIAM Journal on Mathematical Analysis
17 Abstract and Applied Analysis
17 Communications on Pure and Applied Analysis
14 Journal d’Analyse Mathématique
13 Advances in Mathematics
13 Communications in Contemporary Mathematics
13 Discrete and Continuous Dynamical Systems. Series B
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Engineering Mathematics
12 Japan Journal of Applied Mathematics
12 Mathematical and Computer Modelling
11 Israel Journal of Mathematics
11 Rocky Mountain Journal of Mathematics
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Journal of Mathematical Sciences (New York)
11 Advanced Nonlinear Studies
10 Theoretical Population Biology
10 Journal of Nonlinear Science
9 Acta Applicandae Mathematicae
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Journal of the European Mathematical Society (JEMS)
9 Complex Variables and Elliptic Equations
8 Mathematical Notes
8 Duke Mathematical Journal
8 Manuscripta Mathematica
8 Quarterly of Applied Mathematics
8 Journal of Scientific Computing
8 Japan Journal of Industrial and Applied Mathematics
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Advances in Difference Equations
7 Journal of Soviet Mathematics
7 Mathematische Zeitschrift
7 Rendiconti del Seminario Matematico della Università di Padova
7 Zeitschrift für Analysis und ihre Anwendungen
7 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Theoretical Biology
7 Advances in Nonlinear Analysis
6 Nonlinearity
6 Bulletin of Mathematical Biology
6 Numerische Mathematik
6 Chinese Annals of Mathematics. Series B
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Acta Mathematica Sinica. English Series
6 Computational Geosciences
6 Differential Equations
6 Journal of Applied Mathematics and Computing
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Science China. Mathematics
5 Journal of Computational Physics
5 Mathematische Nachrichten
5 Mathematica Slovaca
5 Siberian Mathematical Journal
5 Studies in Applied Mathematics
5 Applied Mathematics and Mechanics. (English Edition)
5 Applied Numerical Mathematics
5 Science in China. Series A
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 International Journal of Computer Mathematics
5 Topological Methods in Nonlinear Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Inequalities and Applications
5 Journal of Evolution Equations
5 Portugaliae Mathematica. Nova Série
5 SIAM Journal on Applied Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series S
4 Bulletin of the Australian Mathematical Society
...and 221 more Serials
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Cited in 44 Fields

2,069 Partial differential equations (35-XX)
417 Ordinary differential equations (34-XX)
355 Fluid mechanics (76-XX)
208 Biology and other natural sciences (92-XX)
145 Numerical analysis (65-XX)
134 Operator theory (47-XX)
96 Dynamical systems and ergodic theory (37-XX)
95 Global analysis, analysis on manifolds (58-XX)
59 Calculus of variations and optimal control; optimization (49-XX)
55 Classical thermodynamics, heat transfer (80-XX)
49 Mechanics of deformable solids (74-XX)
44 Probability theory and stochastic processes (60-XX)
43 Statistical mechanics, structure of matter (82-XX)
38 Functional analysis (46-XX)
37 Differential geometry (53-XX)
30 Integral equations (45-XX)
28 Difference and functional equations (39-XX)
12 Real functions (26-XX)
12 Potential theory (31-XX)
12 Systems theory; control (93-XX)
11 Quantum theory (81-XX)
9 Mechanics of particles and systems (70-XX)
9 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
7 Geophysics (86-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Statistics (62-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Approximations and expansions (41-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
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