On the Dirichlet Problem for the Reduced Wave Equation - Softcover

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9781334016646: On the Dirichlet Problem for the Reduced Wave Equation

Synopsis

This book is a theoretical paper on the integral method used to solve the Dirichlet problem. It provides an existence theorem for the exterior Dirichlet problem for the reduced wave equation, giving conditions for a solution to exist when the surface is piecewise smooth. The author extends the integral method for use on problems with less smooth boundaries, and uses a Banach space instead of continuous functions. This book is highly mathematical in nature and delves into applied mathematics, differential calculus, potential theory and plane geometry. The author delves into the existence and uniqueness of solutions, setting up and discussing integral equations, and offers theorems on their properties.

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