KnowraCauchy problemLinked fromLinked fromThe 17 pages that link to Cauchy problem, each with the reason it gives.All 17Related 10Narrower topic 3Compared with 4Initial-value problemRelated: It is the standard initial-data formulation for many partial differential equations.Augustin-Louis CauchyRelated: Cauchy studied existence and uniqueness questions for equations with prescribed initial conditions.Initial conditionRelated: It extends initial-value reasoning to partial differential equations and higher-dimensional domains.Klein–Gordon equationRelated: Initial field values and their time derivatives determine solutions of the second-order equation.Well-posed problemRelated: Well-posedness asks whether initial data determine a unique, stable solution.Causal structureRelated: Causal structure determines whether initial data can govern later events.Classical field theoryRelated: It asks whether initial field values and their time derivatives determine later evolution.Uniqueness of solutionsRelated: Uniqueness determines whether the initial data fix a single evolution.Euler methodRelated: The method’s stepwise construction approximates the solution of an initial-value Cauchy problem.Cauchy's formula for repeated integrationRelated: Repeated integration turns differential equations with initial data into integral equations.