On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations

Peter D. Lax

Type: Article

Publication Date: 1955-11-01

Citations: 148

DOI: https://doi.org/10.1002/cpa.3160080411

View Publication

Locations

Communications on Pure and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	On the cauchy problem for weakly hyperbolic equations	1970	O A Oleĭnik
+	On uniqueness in cauchy problems for elliptic systems of equations	1960	Avorn Douglis
+	Remarks on cauchy's problem for hyperbolic partial differential equations with constant coefficients in several independent variables	1955	Richard Courant Anneli Lax
+	On boundary value problems for hyperbolic equations	1962	Leonard Sarason
+	The problem of cauchy for linear, hyperbolic equations of second order	1954	Avron Douglis
+	ON THE CHARACTERISTIC CAUCHY PROBLEM FOR A HYPERBOLIC EQUATION	1980	B. Vaĭnberg Vladimir Maz’ya
+	On the solution of nonlinear hyperbolic differential equations by finite differences	1952	Richard Courant Eugene Isaacson Mina Rees
+ PDF Chat	Erratum: On closed boundary value problems for equations of mixed elliptic‐hyperbolic type	2008	Daniela Lupo Cathleen S. Morawetz Kevin R. Payne
+	On the fundamental solution of the Cauchy problem for a hyperbolic operator	2012	Zhanna D. Totieva
+	Addendum to: Algebraic conditions for hyperbolicity of systems of partial differential equations	1978	Fritz John
+	Cauchy's problem for hyperbolic quasi‐linear systems of first order partial differential equations in two independent variables	1961	Richard Courant
+	On the differentiability of strong solutions of partial differential equations	1964	H. O. Cordes Robert D. Moyer
+	On the Cauchy Problem for Hyperbolic Equations and Related Problems	1986	Sigeru Mizohata
+	Uniqueness in Cauchy problems for elliptic systems of equations	1953	Avron Douglis
+ PDF Chat	ON THE CAUCHY PROBLEM OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS	1963	Nobunori Ikebe Akira Ono
+	On Cauchy's problem for linear partial differential equations of second order in four variables	1961	Leifur Ásgeirsson
+	The Cauchy problem for a set of partial differential equations with hyperbolic and parabolic operators	1969	Oleg Novik
+	Hyperbolic Differential Inequalities	1967	D. E. Edmunds Valerie Williams
+	Cauchy's problem for hyperbolic equations	1958	Lars Gårding
+	The hyperbolic Cauchy problem	1991	邦彦梶谷達雄西谷

Works That Cite This (125)

Action	Title	Year	Authors
+ PDF Chat	Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics	2024	Marcelo M. Disconzi Yuanzhen Shao
+ PDF Chat	General boundary value problems for elliptic partial differential equations	1959	Martin Schechter
+	Existence Theorems in Elasticity	1973	Gaetano Fichera
+	Bibliography	1989	Richard Courant David Hilbert
+	Symmetric positive linear differential equations	1958	Kurt Friedrichs
+	Gravitostatics and Rotating Bodies	2017	Gernot Neugebauer
+	Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I	1957	Shmuel Agmon
+	Remarks on strongly elliptic partial differential equations	1955	Louis Nirenberg
+	SCALES OF BANACH SPACES	1966	S. G. Kreĭn Yu. I. Petunin
+	Neumann’s method for boundary problems of thin elastic shells	2017	Yu. S. Neustadt

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients	1952	Felix E. Browder
+	Derivatives of continuous weak solutions of linear elliptic equations	1953	Fritz John
+	The identity of weak and strong extensions of differential operators	1944	Kurt Friedrichs
+ PDF Chat	Herstellung von Lösungen gemischter Randwertprobleme bei hyperbolischen Differentialgleichungen zweiter Ordnung durch Zusammenstückelung aus Lösungen einfacherer gemischter Randwertaufgaben	1920	A. Rubinowicz
+	On the differentiability of the solutions of linear elliptic differential equations	1953	Kurt Friedrichs
+	<i>Lectures on Cauchy's Problem in Linear Partial Differential Equations</i>	1953	Jacques Hadamard Philip Μ. Morse
+ PDF Chat	The Dirichlet and Vibration Problems for Linear Elliptic Differential Equations of Arbitrary Order	1952	Felix E. Browder
+	�ber die partiellen Differenzengleichungen der mathematischen Physik	1928	Richard Courant Kurt Friedrichs Hans Lewy
+	A theorem of Lichtenstein	1947	K. O. Friedrichs
+ PDF Chat	L'intégrale de Riemann-Liouville et le problème de Cauchy	1949	Marcel Riesz