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Boundary Value Problems in Partial Differential Equations 📂Partial Differential Equations

Boundary Value Problems in Partial Differential Equations

Definition

Given a partial differential equation defined in an open set $\Omega$, let’s assume the values of the unknown $u$ are given on the boundary $\partial \Omega$ of $\Omega$. This is called a boundary condition. The partial differential equation together with the boundary condition is referred to as a boundary value problem.

Description

The abbreviation BVP is commonly used.

To solve a boundary value problem means to find a solution $u$ that satisfies the boundary conditions within the given partial differential equation.

Examples

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