## Lax, Peter David

Compute Distance To:
 Author ID: lax.peter-d Published as: Lax, Peter D.; Lax, P. D.; Lax, Peter; Lax, P. External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Awards: Wolf Prize (1987) · Abel Prize (2005)
 Documents Indexed: 210 Publications since 1944, including 20 Books 4 Contributions as Editor · 11 Further Contributions Biographic References: 17 Publications Co-Authors: 83 Co-Authors with 113 Joint Publications 3,383 Co-Co-Authors
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### Co-Authors

 105 single-authored 45 Phillips, Ralph Saul 7 Levermore, C. David 6 Synge Morawetz, Cathleen 5 Harten, Ami 5 Nirenberg, Louis 4 Majda, Andrew J. 3 Courant, Richard 3 Francsics, Gábor 3 Friedrichs, Kurt Otto 3 Glimm, James G. 3 Jameson, Antony 3 Lax, Anneli 3 Liu, Xudong 3 Raussen, Martin 3 Sarnak, Peter Clive 3 Skau, Christian Fredrik 3 Wendroff, Burton 2 Atiyah, Michael Francis 2 Brézis, Haïm 2 Burstein, Samuel Z. 2 Carleson, Lennart 2 Chang, Sun-Yung Alice 2 Jäger, Willi 2 LeVeque, Randall J. 2 Mac Lane, Leslie Saunders 2 Mazur, Barry 2 Peskin, Charles S. 2 Terrell, Maria Shea 2 Varadhan, S. R. Srinivasa 2 Zalcman, Lawrence Allen 1 Abbott, James C. 1 Adams, John Frank 1 Agmon, Shmuel 1 Anastasio, Sal 1 Arnol’d, Vladimir Igorevich 1 Bellman, Richard Ernest 1 Berestycki, Henri 1 Berg, Paul W. 1 Birindelli, Isabeau 1 Bliss, Gilbert Ames 1 Borel, Armand 1 Bradley, Robert E. 1 Caffarelli, Luis Ángel 1 Chang, Kung-Ching 1 Ching, Wai-Mee 1 Ciarlet, Philippe Gaston 1 Conlon, Lawrence 1 Constantin, Peter 1 Curtis, Edward B. 1 Davis, Martin David 1 Davis, Philip J. 1 Guedes de Figueiredo, Djairo 1 Deligne, Pierre René 1 Douglas, Ronald George 1 Edwards, Harold Mortimer jun. 1 Ekeland, Ivar 1 Falbel, Elisha 1 Fefferman, Charles Louis 1 Feit, Walter 1 Fisher, Joseph A. 1 Foiaş, Ciprian Ilie 1 Friedlander, Susan Jean 1 Fujita, Hiroshi 1 Garabedian, Cathy 1 Garabedian, Emily 1 Gindikin, Simon Grigorevich 1 Goodman, Jonathan B. 1 Gromov, Mikhael Leonidovich 1 Hale-La Salle 1 Hall, Carl Alan 1 Halmos, Paul Richard 1 Hardy, Godfrey Harold 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hildebrandt, Stefan 1 Hill, C. Denson 1 Hirzebruch, Friedrich 1 Hou, Thomas Yizhao 1 Huebschmann, Johannes 1 Hyman, James M. 1 Jackson, Dunham 1 Jaffe, Arthur Michael 1 Jones, Peter Wilcox 1 Kac, Mark 1 Kalman, Rudolf Emil 1 Kazdan, Jerry L. 1 Kazhdan, David A. 1 Keel, Markus 1 Khenkin, Gennadiĭ Markovich 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Kostant, Bertram 1 Lanczos, Cornelius 1 Leray, Jean 1 Levinson, Norman 1 Li, YanYan 1 Lin, Fang Hua 1 Magenes, Enrico ...and 54 more Co-Authors
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### Serials

 53 Communications on Pure and Applied Mathematics 11 Notices of the American Mathematical Society 9 American Mathematical Monthly 6 Bulletin of the American Mathematical Society 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Review 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Bulletin of the American Mathematical Society. New Series 3 Annals of Mathematics Studies 3 Undergraduate Texts in Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 Springer Collected Works in Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Applied Numerical Mathematics 1 IBM Journal of Research and Development 1 Linear Algebra and its Applications 1 Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 European Mathematical Society Newsletter 1 Journal of Evolution Equations 1 Bonner Mathematische Schriften 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Mathematics Series. Texas Tech University 1 North-Holland Mathematics Studies 1 Proceedings of Symposia in Applied Mathematics 1 University Lecture Series 1 Courant Lecture Notes in Mathematics 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
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### Fields

 86 Partial differential equations (35-XX) 35 History and biography (01-XX) 33 Numerical analysis (65-XX) 26 Operator theory (47-XX) 22 Fluid mechanics (76-XX) 15 Number theory (11-XX) 13 Real functions (26-XX) 8 General and overarching topics; collections (00-XX) 8 Functions of a complex variable (30-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Integral transforms, operational calculus (44-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

162 Publications have been cited 8,842 times in 7,225 Documents Cited by Year
Hyperbolic systems of conservation laws. II. Zbl 0081.08803
Lax, Peter D.
1957
Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103
Lax, Peter D.
1968
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
1983
Systems of conservation laws. Zbl 0152.44802
Lax, Peter D.; Wendroff, B.
1960
Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062
Lax, Peter D.
1973
Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404
Lax, Peter D.
1954
Systems of conservation equations with a convex extension. Zbl 0229.35061
Friedrichs, K. O.; Lax, P. D.
1971
Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101
Lax, P. D.
1964
Functional analysis. Zbl 1009.47001
Lax, Peter D.
2002
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
1967
Survey of the stability of linear finite difference equations. Zbl 0072.08903
Lax, Peter D.; Richtmyer, R. D.
1956
Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502
Lax, Peter; Phillips, R. S.
1960
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802
Lax, Peter D.
1944
Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050
Lax, Peter D.; Wendroff, Burton
1964
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
1983
On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062
Harten, Ami
1984
Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304
Glimm, J.; Lax, Peter D.
1970
Periodic solutions of the KdV equation. Zbl 0295.35004
Lax, Peter D.
1975
Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801
Lax, Peter D.
1957
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
1985
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
1967
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
1976
Parabolic equations. Zbl 0058.08703
Lax, P. D.; Milgram, A. N.
1954
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
1976
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
1982
Translation invariant spaces. Zbl 0085.09102
Lax, Peter D.
1959
Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203
Lax, P. D.
1963
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
1989
Shock waves and entropy. Zbl 0268.35014
Lax, Peter
1971
Almost periodic solutions of the KdV equation. Zbl 0329.35015
Lax, Peter D.
1976
A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations. Zbl 0072.33004
Lax, Peter D.
1956
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
1983
On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations. Zbl 0067.07502
Lax, Peter D.
1955
Scattering theory. Zbl 0117.09104
Lax, P. D.; Phillips, R. S.
1964
Hyperbolic partial differential equations. Zbl 1113.35002
Lax, Peter D.
2006
Differential equations, difference equations and matrix theory. Zbl 0086.01603
Lax, Peter D.
1958
Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0161.08001
Lax, Peter D.; Morawetz, C. S.; Phillips, R. S.
1963
On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801
Lax, Peter D.; Nirenberg, Louis
1966
The formation and decay of shock waves. Zbl 0228.35019
Lax, Peter D.
1972
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
1983
Linear algebra and its applications. 2nd edition. Zbl 1152.15001
Lax, Peter D.
2007
Symmetrizable linear transformations. Zbl 0057.34402
Lax, Peter D.
1954
On matrices whose real linear combinations are nonsingular. Zbl 0168.02404
Adams, J. F.; Lax, P. D.; Phillips, R. S.
1966
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
1973
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
1972
Nonlinear hyperbolic equations. Zbl 0050.31705
Lax, Peter D.
1953
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
1993
Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201
Lax, Peter D.; Phillips, R. S.
1969
Boundary value problems for first order operators. Zbl 0178.11403
Friedrichs, K. O.; Lax, P. D.
1965
The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075
Mock, Michael S.; Lax, Peter D.
1978
A Phragmén-Lindelöf theorem on harmonic analysis and its application to some questions in the theory of elliptic equations. Zbl 0077.31501
Lax, Peter D.
1957
On the stability of difference schemes. Zbl 0113.32301
Lax, Peter D.; Wendroff, B.
1962
The initial value problem for nonlinear hyperbolic equations in two independent variables. Zbl 0057.32502
Lax, P. D.
1954
On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701
Lax, Peter D.
1961
A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038
Harten, Amiram; Lax, Peter D.
1981
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
1979
Dispersive approximations in fluid dynamics. Zbl 0729.76065
Hou, Thomas Y.; Lax, Peter D.
1991
On nonlinear partial differential equations with two independent variables. Zbl 0034.20103
Courant, Richard; Lax, Peter
1949
On dispersive difference schemes. I. Zbl 0647.65062
Goodman, Jonathan; Lax, Peter D.
1988
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
1984
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
1970
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
1998
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
1977
The multiplicity of eigenvalues. Zbl 0483.15006
Lax, Peter D.
1982
Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803
Glimm, J.; Lax, P. D.
1967
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
1979
The propagation of discontinuities in wave motion. Zbl 0072.30803
Courant, Richard; Lax, P. D.
1956
Stability of linear and nonlinear difference schemes. Zbl 0146.13701
Lax, P. D.
1966
On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203
Brézis, Haïm; Rosenkrantz, W.; Singer, B.
1971
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
1971
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
1980
The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083
Lax, Peter D.
1991
On the discriminant of real symmetric matrices. Zbl 0933.15013
Lax, Peter D.
1998
The wave equation in exterior domains. Zbl 0103.06401
Lax, Peter D.; Phillips, Ralph S.
1962
Linear algebra. Zbl 0904.15001
Lax, Peter D.
1997
On dispersive difference schemes. Zbl 0613.65127
Lax, Peter D.
1986
Trace formulas for the Schrödinger operator. Zbl 0802.34089
Lax, Peter D.
1994
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
1974
The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301
Lax, P. D.; Morawetz, C. S.; Phillips, R. S.
1962
The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401
Lax, P. D.; Phillips, R. S.
1967
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
1971
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
1971
Mathematics: frontiers and perspectives. Zbl 1047.00015
2000
Approximation of measure preserving transformations. Zbl 0208.32202
Lax, P. D.
1971
The differentiability of Polya’s function. Zbl 0262.26007
Lax, Peter D.
1973
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
1978
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
1985
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
2003
On symmetrizable differential operators. Zbl 0184.36603
Friedrichs, K. O.; Lax, P. D.
1967
Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038
Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R.
2011
Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071
Jameson, A.; Lax, P. D.
1987
Periodic solutions of the KdV equations. Zbl 0297.35004
Lax, Peter D.
1974
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
1984
Change of variables in multiple integrals. Zbl 1007.26006
Lax, Peter D.
1999
Reciprocal extremal problems in function theory. Zbl 0064.31301
Lax, Peter D.
1955
Approximation of measure preserving transformations. Zbl 0205.35702
Lax, P. D.
1971
Mathematics and physics. Zbl 1157.00016
Lax, Peter D.
2008
On sums of squares. Zbl 0371.15013
Lax, Anneli; Lax, Peter D.
1978
Hyperbolic difference equations: A review of the Courant-Friedrichs-Lewy paper in the light of recent developments. Zbl 0233.65051
Lax, Peter D.
1967
Multivariable calculus with applications. Zbl 1396.26002
Lax, Peter D.; Terrell, Maria Shea
2017
Calculus with applications. 2nd ed. Zbl 1292.26003
Lax, Peter D.; Terrell, Maria Shea
2014
Complex proofs of real theorems. Zbl 1243.30001
Lax, Peter D.; Zalcman, Lawrence
2012
Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038
Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R.
2011
Rethinking the Lebesgue integral. Zbl 1229.26019
Lax, Peter D.
2009
Mathematics and physics. Zbl 1157.00016
Lax, Peter D.
2008
Linear algebra and its applications. 2nd edition. Zbl 1152.15001
Lax, Peter D.
2007
Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008
2007
Computational fluid dynamics. Zbl 1151.76555
Lax, Peter D.
2007
Hyperbolic partial differential equations. Zbl 1113.35002
Lax, Peter D.
2006
Gibbs phenomena. Zbl 1103.65095
Lax, Peter D.
2006
Analysis of a Picard modular group. Zbl 1206.11048
Francsics, Gábor; Lax, Peter D.
2006
A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space. Zbl 1065.22007
Francsics, Gábor; Lax, Peter D.
2005
Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda. Zbl 1087.01018
Lax, Peter D.
2005
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural&rsquo;tseva, Nina; Vishik, Mark
2004
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
2003
Functional analysis. Zbl 1009.47001
Lax, Peter D.
2002
The Radon transform and translation representation. Zbl 1002.35005
Lax, Peter D.
2001
Change of variables in multiple integrals. II. Zbl 1007.26007
Lax, Peter D.
2001
Mathematics: frontiers and perspectives. Zbl 1047.00015
2000
Jean Leray (1906–1998). Zbl 0977.01032
Borel, Armand; Henkin, Gennadi M.; Lax, Peter D.
2000
Change of variables in multiple integrals. Zbl 1007.26006
Lax, Peter D.
1999
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
1998
On the discriminant of real symmetric matrices. Zbl 0933.15013
Lax, Peter D.
1998
Linear algebra. Zbl 0904.15001
Lax, Peter D.
1997
Introduction to “High resolution schemes for hyperbolic conservation laws”. Zbl 0890.65095
Lax, Peter
1997
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071
Liu, Xu-Dong; Lax, Peter D.
1996
Outline of a theory of the KdV equation. Zbl 0898.35089
Lax, Peter D.
1996
A short path to the shortest path. Zbl 0859.26009
Lax, Peter D.
1995
Trace formulas for the Schrödinger operator. Zbl 0802.34089
Lax, Peter D.
1994
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
1993
The existence of eigenvalues of integral operators. Zbl 0817.47070
Lax, Peter D.
1993
Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces. IV. Zbl 0796.35093
Lax, Peter D.; Phillips, Ralph S.
1992
Dispersive approximations in fluid dynamics. Zbl 0729.76065
Hou, Thomas Y.; Lax, Peter D.
1991
The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083
Lax, Peter D.
1991
Deterministic theories of turbulence. Zbl 0727.76063
Lax, P. D.
1991
The ergodic character of sequences of pedal triangles. Zbl 0729.28011
Lax, Peter D.
1990
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
1989
The flowering of applied mathematics in America. Zbl 0687.01010
Lax, Peter D.
1989
On dispersive difference schemes. I. Zbl 0647.65062
Goodman, Jonathan; Lax, Peter D.
1988
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1988
Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071
Jameson, A.; Lax, P. D.
1987
On dispersive difference schemes. Zbl 0613.65127
Lax, Peter D.
1986
Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65070
Jameson, Antony; Lax, Peter D.
1986
Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057
Lax, Peter D.
1986
Mathematics and computing. Zbl 0628.00019
Lax, Peter D.
1986
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
1985
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces; the case of finite volume. Zbl 0576.30037
Lax, Peter D.; Phillips, Ralph S.
1985
On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062
Harten, Ami
1984
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
1984
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
1984
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
1983
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
1983
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
1983
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
1983
Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015
1983
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
1982
The multiplicity of eigenvalues. Zbl 0483.15006
Lax, Peter D.
1982
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007
Lax, Peter D.; Phillips, Ralph S.
1982
A local Paley-Wiener theorem for the Radon transform of $$L_ 2$$ functions in a non-Euclidean setting. Zbl 0511.58037
Lax, Peter D.; Phillips, Ralph S.
1982
A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038
Harten, Amiram; Lax, Peter D.
1981
Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004
Lax, Peter D.; Phillips, Ralph S.
1981
The translation representation theorem. Zbl 0481.47027
Lax, Peter D.; Phillips, Ralph S.
1981
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037
Lax, Peter D.; Phillips, Ralph S.
1981
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
1980
On the notion of hyperbolicity. Zbl 0464.35059
Lax, Peter D.
1980
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
1979
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
1979
The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075
Mock, Michael S.; Lax, Peter D.
1978
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
1978
On sums of squares. Zbl 0371.15013
Lax, Anneli; Lax, Peter D.
1978
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
1978
Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068
Lax, Peter D.
1978
A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066
Lax, Peter D.
1978
The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013
1978
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
1977
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
1976
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
1976
Almost periodic solutions of the KdV equation. Zbl 0329.35015
Lax, Peter D.
1976
On the factorization of matrix valued functions. Zbl 0326.47033
Lax, Peter D.
1976
Calculus with applications and computing. Vol. I. Zbl 0348.26003
Lax, Peter; Burstein, Samuel; Lax, Anneli
1976
Periodic solutions of the KdV equation. Zbl 0295.35004
Lax, Peter D.
1975
Almost periodic behavior of nonlinear waves. Zbl 0306.35066
Lax, Peter D.
1975
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
1974
Periodic solutions of the KdV equations. Zbl 0297.35004
Lax, Peter D.
1974
Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062
Lax, Peter D.
1973
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
1973
The differentiability of Polya’s function. Zbl 0262.26007
Lax, Peter D.
1973
The formation and decay of shock waves. Zbl 0228.35019
Lax, Peter D.
1972
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
1972
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
1972
Systems of conservation equations with a convex extension. Zbl 0229.35061
Friedrichs, K. O.; Lax, P. D.
1971
Shock waves and entropy. Zbl 0268.35014
Lax, Peter
1971
On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203
Brézis, Haïm; Rosenkrantz, W.; Singer, B.
1971
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
1971
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
1971
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
1971
...and 62 more Documents
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### Cited by 7,550 Authors

 44 Chen, Gui-Qiang G. 41 Shu, Chi-Wang 37 Liu, Tai-Ping 35 Mir, Abdullah 35 Rauch, Jeffrey B. 33 Lax, Peter David 33 LeFloch, Philippe Gerard 30 Dumbser, Michael 29 Berthon, Christophe 27 Phillips, Ralph Saul 27 Tadmor, Eitan 24 Toro, Eleuterio F. 23 Ma, Wen-Xiu 22 El, Gennady A. 21 Dafermos, Constantine M. 21 Fokas, Athanassios S. 21 Kong, Dexing 21 Petkov, Vesselin M. 21 Smoller, Joel Alan 20 Ruggeri, Tommaso 20 Shearer, Michael 20 Yang, Tong 19 Li, Jiequan 19 Serre, Denis 18 Balsara, Dinshaw S. 18 Marchesin, Dan 18 Métivier, Guy 17 Chien, Mao-Ting 17 Liu, Hailiang 17 Majda, Andrew J. 17 Nakazato, Hiroshi 17 Shao, Zhiqiang 17 Zhu, Changjiang 16 Chalons, Christophe 16 Kulikovskiĭ, Andreĭ Gennad’evich 16 Ostapenko, Vladimir Viktorovich 16 Parés Madroñal, Carlos 16 Sarnak, Peter Clive 15 Castro, Manuel J. 15 Colombo, Rinaldo M. 15 Jørgensen, Palle E. T. 15 Peng, Yuejun 15 Popov, Boyan 15 Qiu, Jianxian 15 Temple, Blake 15 Trakhinin, Yuri L. 15 Zumbrun, Kevin R. 14 Ding, Min 14 Freistühler, Heinrich 14 Frid, Hermano 14 Guermond, Jean-Luc 14 Osher, Stanley Joel 14 Saurel, Richard 14 Shah, Wali Mohammad 14 Wazwaz, Abdul-Majid Abdul-Rahman 14 Xin, Zhouping 13 Adams, Nikolaus A. 13 Allahverdiev, Bilender Paşaoğlu 13 Aziz, Abdul 13 Boillat, Guy 13 Coulombel, Jean-François 13 Dewan, Kum Kum 13 Grava, Tamara 13 Hoefer, Mark A. 13 Jeffrey, Alan P. 13 Kawashima, Shuichi 13 Levermore, C. David 13 Li, Yachun 13 Sever, Michael 13 Wang, Dehua 13 Xu, Kun 12 Ablowitz, Mark Jay 12 Ancona, Fabio 12 Bressan, Alberto 12 Chen, Geng 12 Coquel, Frédéric 12 Currò, Carmela 12 Hong, John Meng-Kai 12 Kurganov, Alexander 12 Palin, Vladimir Vladimirovich 12 Perla Menzala, Gustavo Alberto 12 Ren, Yuxin 12 Stoyanov, Luchezar N. 12 Zhang, Yongqian 12 Zworski, Maciej 11 DiPerna, Ronald J. 11 Li, Tatsien 11 Liman, Abdul 11 Llibre, Jaume 11 Prykarpatsky, Anatoliy Karolevych 11 Rather, Nisar Ahmad 11 Slemrod, Marshall 10 Bauer, Martin 10 Carpenter, Mark H. 10 Chen, Shuxing 10 Chugaĭnova, Anna Pavlova 10 Guès, Olivier 10 Joseph, Kayyunnapara Thomas 10 Keyfitz, Barbara Lee 10 Klein, Christian ...and 7,450 more Authors
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### Cited in 630 Serials

 548 Journal of Computational Physics 312 Journal of Mathematical Analysis and Applications 283 Journal of Differential Equations 225 Journal of Mathematical Physics 204 Archive for Rational Mechanics and Analysis 203 Computers and Fluids 147 Communications in Mathematical Physics 142 Journal of Scientific Computing 115 Transactions of the American Mathematical Society 111 Communications in Partial Differential Equations 103 Applied Mathematics and Computation 103 Journal of Functional Analysis 96 Mathematics of Computation 95 Computer Methods in Applied Mechanics and Engineering 94 Physica D 81 Proceedings of the American Mathematical Society 79 Computers & Mathematics with Applications 71 Journal of Hyperbolic Differential Equations 69 Journal of Computational and Applied Mathematics 65 Linear Algebra and its Applications 60 Applied Numerical Mathematics 58 Communications on Pure and Applied Mathematics 56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 ZAMP. Zeitschrift für angewandte Mathematik und Physik 49 Mathematical Methods in the Applied Sciences 47 Numerische Mathematik 46 Journal of Fluid Mechanics 44 Duke Mathematical Journal 42 International Journal for Numerical Methods in Fluids 39 Advances in Mathematics 38 Applicable Analysis 38 Mathematische Annalen 37 SIAM Journal on Scientific Computing 35 Studies in Applied Mathematics 35 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 35 SIAM Journal on Mathematical Analysis 35 Discrete and Continuous Dynamical Systems 34 Annales de l’Institut Fourier 34 Inventiones Mathematicae 33 Wave Motion 33 Journal of Mathematical Sciences (New York) 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 32 Communications in Computational Physics 31 Bulletin of the American Mathematical Society 30 Publications of the Research Institute for Mathematical Sciences, Kyoto University 29 Nonlinearity 29 Communications in Nonlinear Science and Numerical Simulation 28 Ukrainian Mathematical Journal 28 Acta Applicandae Mathematicae 27 Theoretical and Mathematical Physics 27 Quarterly of Applied Mathematics 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Bulletin of the American Mathematical Society. New Series 27 Journal of Nonlinear Mathematical Physics 26 Journal of Statistical Physics 26 Journal of Soviet Mathematics 26 SIAM Journal on Numerical Analysis 25 Letters in Mathematical Physics 25 Functional Analysis and its Applications 25 Integral Equations and Operator Theory 25 Mathematische Zeitschrift 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Nonlinear Analysis. Theory, Methods & Applications 24 Chaos, Solitons and Fractals 24 Journal of Geometry and Physics 23 Journal d’Analyse Mathématique 23 Applied Mathematics Letters 23 Continuum Mechanics and Thermodynamics 23 International Journal of Computational Fluid Dynamics 23 Proceedings of the Japan Academy 22 Siberian Mathematical Journal 21 Journal of Engineering Mathematics 20 Acta Mathematica 20 Chinese Annals of Mathematics. Series B 20 Nonlinear Analysis. Real World Applications 19 Annales de l’Institut Henri Poincaré. Physique Théorique 19 Journal of Nonlinear Science 18 Mathematical Notes 17 Acta Mechanica 17 Mathematics and Computers in Simulation 17 Applied Mathematical Modelling 17 Journal of Elasticity 16 Numerical Methods for Partial Differential Equations 16 Abstract and Applied Analysis 15 Israel Journal of Mathematics 15 Journal of Applied Mathematics and Mechanics 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Mathematical and Computer Modelling 14 Computer Physics Communications 14 Proceedings of the Japan Academy. Series A 14 RAIRO. Modélisation Mathématique et Analyse Numérique 14 Journal of the American Mathematical Society 14 Japan Journal of Industrial and Applied Mathematics 14 Computational Mathematics and Mathematical Physics 14 SIAM Journal on Applied Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Computational Mechanics 13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 530 more Serials
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### Cited in 61 Fields

 4,023 Partial differential equations (35-XX) 2,184 Fluid mechanics (76-XX) 1,627 Numerical analysis (65-XX) 647 Dynamical systems and ergodic theory (37-XX) 516 Operator theory (47-XX) 332 Mechanics of deformable solids (74-XX) 281 Ordinary differential equations (34-XX) 281 Global analysis, analysis on manifolds (58-XX) 249 Quantum theory (81-XX) 226 Functions of a complex variable (30-XX) 221 Statistical mechanics, structure of matter (82-XX) 158 Functional analysis (46-XX) 150 Differential geometry (53-XX) 144 Probability theory and stochastic processes (60-XX) 139 Optics, electromagnetic theory (78-XX) 130 Linear and multilinear algebra; matrix theory (15-XX) 121 Number theory (11-XX) 111 Relativity and gravitational theory (83-XX) 105 Classical thermodynamics, heat transfer (80-XX) 100 Geophysics (86-XX) 93 Systems theory; control (93-XX) 91 Mechanics of particles and systems (70-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 75 Biology and other natural sciences (92-XX) 70 Algebraic geometry (14-XX) 68 Approximations and expansions (41-XX) 66 Topological groups, Lie groups (22-XX) 60 Real functions (26-XX) 59 Operations research, mathematical programming (90-XX) 52 Integral equations (45-XX) 50 Computer science (68-XX) 48 Nonassociative rings and algebras (17-XX) 48 Several complex variables and analytic spaces (32-XX) 37 Difference and functional equations (39-XX) 37 Integral transforms, operational calculus (44-XX) 36 Astronomy and astrophysics (85-XX) 34 Special functions (33-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Abstract harmonic analysis (43-XX) 31 Statistics (62-XX) 30 History and biography (01-XX) 29 Potential theory (31-XX) 29 Convex and discrete geometry (52-XX) 28 Measure and integration (28-XX) 26 Group theory and generalizations (20-XX) 25 Combinatorics (05-XX) 23 General and overarching topics; collections (00-XX) 20 Information and communication theory, circuits (94-XX) 16 Manifolds and cell complexes (57-XX) 13 General topology (54-XX) 12 Associative rings and algebras (16-XX) 11 Mathematical logic and foundations (03-XX) 10 Commutative algebra (13-XX) 9 Field theory and polynomials (12-XX) 9 Geometry (51-XX) 6 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 $$K$$-theory (19-XX) 2 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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