from Part V - Boundary and Initial Boundary Value Problems
Published online by Cambridge University Press: 29 September 2022
This chapter is a collection of facts, ideas, and techniques regarding the analysis of boundary value, initial and initial boundary value problems for partial differential equations. We begin by deriving some of the representative equations of mathematical physics, which then give rise to the classification of linear, second order, constant coefficient partial differential equations into: elliptic, parabolic, and hyperbolic equations. For each one of these classes we then discuss the main ideas behind problem with them and the existence of solutions: both classical and weak.
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