Boundary Value Problem

A boundary value problem is a problem, typically an ordinary differential equation or a partial differential equation, which has values assigned on the physical boundary of the domain in which the problem is specified. For example,

${(partial^2u)/(partialt^2)-del ^2u=f in Omega; u(0,t)=u_1 on partialOmega; (partialu)/(partialt)(0,t)=u_2 on partialOmega,$

(1)

where denotes the boundary of , is a boundary problem.

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