Cauchy problem

Differential equations
Scope
Fields
Applied mathematics
Social sciences
List of named differential equations
Classification
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By variable type
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Relation to processes
Solution
Existence and uniqueness
General topics
Solution methods
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A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain.[1] A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition). It is named after Augustin-Louis Cauchy.

  1. ^ Hadamard, Jacques (1923). Lectures on Cauchy's Problem in Linear Partial Differential Equations. New Haven: Yale University Press. pp. 4–5. OCLC 1880147.