cauchy problem
1Cauchy problem — The Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain side conditions which are given on a hypersurface in the domain. It is an extension of the initial value problem.Suppose that the… …
2Cauchy-Problem — Als Anfangswertproblem (AWP) (manchmal auch als Anfangswertaufgabe (AWA) oder Cauchy Problem genannt) bezeichnet man in der Analysis eine wichtige Klasse von Differentialgleichungen, bei denen aus vorgegebenen Anfangsdaten, nämlich dem… …
3Cauchy–Kowalevski theorem — In mathematics, the Cauchy–Kowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proved by harvs|authorlink=Augustin… …
4Cauchy horizon — In physics, a Cauchy horizon is a light like boundary of the domain of validity of a Cauchy problem (a particular boundary value problem of the theory of partial differential equations). One side of the horizon contains closed space like… …
5Cauchy's functional equation — is one of the simplest functional equations to represent, however its solution over the real numbers is extremely complicated. The equation is : f(x+y)=f(x)+f(y). Over the rational numbers, it can be shown using elementary algebra that there is a …
6Cauchy, Augustin-Louis, Baron — born Aug. 21, 1789, Paris, France died May 23, 1857, Sceaux French mathematician, pioneer of analysis and group theory. After a career as a military engineer in Napoleon s navy, he wrote a treatise in 1813 that became the basis of the theory of… …
7Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …
8Cauchy-Schwarz — Inégalité de Cauchy Schwarz Pour les articles homonymes, voir Cauchy et Schwarz. En mathématiques, l inégalité de Cauchy Schwarz, aussi appelée inégalité de Schwarz[1], ou encore inégalité de Cauchy Bunyakovski Schwarz[2], se rencontre dans de… …
9Cauchy boundary condition — In mathematics, a Cauchy (pronounced koe she ) boundary condition imposed on an ordinary differential equation or a partial differential equation specifies both the values a solution of a differential equation is to take on the boundary of the… …
10Cauchy–Schwarz inequality — In mathematics, the Cauchy–Schwarz inequality, also known as the Schwarz inequality, the Cauchy inequality, or the Cauchy–Schwarz–Bunyakovsky inequality, is a useful inequality encountered in many different settings, such as linear algebra… …
