On nonlinear partial differential equations with two independent variables

Richard Courant, Peter D. Lax

Type: Article

Publication Date: 1949-06-01

Citations: 88

DOI: https://doi.org/10.1002/cpa.3160020206

View Publication

Locations

Communications on Pure and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	On a Non‐linear Differential Equation of the Second Order	1943	Norman Levinson
+	Nonlinear hyperbolic equations	1953	Peter D. Lax
+	On a Non-Linear Difference Equation in Two Variables	1940	C. A. Meredith
+ PDF Chat	On Partial Differential Equations of the First Order with several dependent variables	1877	H. W. Lloyd Tanner
+ PDF Chat	Nonlinear systems of equations	1969	Werner C. Rheinboldt
+ PDF Chat	On the Reversion of Partial Differential Expressions with two Independent and two Dependent Variables	1890	E. B. Elliott
+ PDF Chat	On the General Linear Differential Equation of the Second Order	1887	James Cockle
+	On a Nonlinear Matrix Differential Equation	1985	Paul A. Schweitzer
+	On the solution of nonlinear hyperbolic differential equations by finite differences	1952	Richard Courant Eugene Isaacson Mina Rees
+	On a First Order Partial Differential Equation with Nonlocal Nonlinearity	1983	H. Gajewski
+	RESEARCH PROBLEMS ON NONLINEAR EQUATIONS	1988	Themistocles M. Rassias
+	ON THE INTEGRATION OF CERTAIN SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS	1972	W. N. Everitt Annapurna Sircar
+	A class of non‐linear partial differential equations	1962	E. Varley
+	On Cauchy's problem for linear partial differential equations of second order in four variables	1961	Leifur Ásgeirsson
+ PDF Chat	On the Solution of certain Partial Differential Equations of the Second Order having more than Two Independent Variables	1875	H. W. Lloyd Tanner
+	On the Integration of Partial Differetial Equations of the First Order with One Dependent and two Independent Variables	1930	M. J. M. Hill
+ PDF Chat	Notes on a General Method of Solving Partial Differential Equations of the First Order with several Dependent Variables	1879	H. W. Lloyd Tanner
+	On the Solution of Linear Difference Differential Equations	1940	Albert E. Heins
+	Systems of Three Linear Partial Differential Equations of the Third Order	1932	George P. Wadsworth
+	LINEAR PARTIAL DIFFERENTIAL EQUATIONS (II)	1940	T. W. Chaundy

Works That Cite This (63)

Action	Title	Year	Authors
+	Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions	2003	Mahir Rasulov Turhan Karaguler Bahaddin Sinsoysal
+	Bibliography	1989	Richard Courant David Hilbert
+	Delayed singularity formation in solution of nonlinear wave equations in higher dimensions	1976	Fritz John
+	On one class of high-order compact grid-characteristic schemes for linear advection	2016	Н. И. Хохлов И. Б. Петров
+	On the solution of nonlinear hyperbolic differential equations by finite differences	1952	Richard Courant Eugene Isaacson Mina Rees
+	Mixed problems for hyperbolic systems	1962	Avner Friedman
+	A finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functions	2003	Mahir Rasulov Erhan Coşkun Bahaddin Sinsoysal
+	Q	1991	Michiel Hazewinkel
+ PDF Chat	A coupled non-linear hyperbolic-sobolev system	1977	Richard E. Ewing
+	Small Amplitude Theory of Richtmyer–Meshkov Instability in Cylindrical and Spherical Geometries	2004	Ju Hong Kim

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	Un teorema di esistenza e di unicità per un sistema di equazioni alle derivate parziali	1945	Maria Cinquini-Cibrario
+ PDF Chat	Supersonic Flow and Shock Waves	1949	M. J. Lighthill
+	Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen. Existenz, Eindeutigkeit und Abh�ngigkeitsbereich der L�sung	1928	Kurt Friedrichs Hans Lewy
+	�ber Existenz und Nichtexistenz von Integralen partieller Differentialgleichungssysteme im reellen Gebiet	1928	Oskar Perron
+	Cauchy'sches Problem f�r partielle Differentialgleichungen erster Ordnung. Anwendung einiger sich auf die Absolutbetr�ge der L�sungen beziehenden Absch�tzungen	1936	J. Schauder
+	Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables	1948	K. O. Friedrichs