Linear Partial Differential Equations

Lokenath Debnath ()
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Lokenath Debnath: University of Texas, Pan American, Department of Mathematics

Chapter 1 in Nonlinear Partial Differential Equations for Scientists and Engineers, 2012, pp 1-147 from Springer

Abstract: Abstract Partial differential equations arise frequently in the formulation of fundamental laws of nature and in the mathematical analysis of a wide variety of problems in applied mathematics, mathematical physics, and engineering science. This subject plays a central role in modern mathematical sciences, especially in physics, geometry, and analysis. Many problems of physical interest are described by partial differential equations with appropriate initial and/or boundary conditions. These problems are usually formulated as initial-value problems, boundary-value problems, or initial boundary-value problems. In order to prepare the reader for study and research in nonlinear partial differential equations, a broad coverage of the essential standard material on linear partial differential equations and their applications is required.

Keywords: Wave Equation; Linear Partial Differential Equation; Free Surface Elevation; Telegraph Equation; Fractional Diffusion Equation (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8265-1_1

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