Abstract
Many physical processes in fields of science and technology such as mechanics, heat, physics, electricity and magnetism, optics, are described by means of partial differential equations. The majority of the equations of mathematical physics itself are partial differential equations. In contrast to ordinary differential equations, in winch the unknown function depends on only one variable, in partial differential equations the unknown function depends on several variables (for example, the electric field vector \(\overrightarrow E \left( {x,y,z,t} \right)\) (x, y, z,t) depends on the space variables x, y, z and the time t).
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© 2001 Springer Basel AG
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Pikulin, V.P., Pohozaev, S.I. (2001). Introduction. In: Equations in Mathematical Physics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8285-9_1
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DOI: https://doi.org/10.1007/978-3-0348-8285-9_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6501-1
Online ISBN: 978-3-0348-8285-9
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