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Homogene Schemata

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Part of the Lecture Notes in Mathematics book series (LNM,volume 91)

Zusammenfassung

In diesem Vorlesungskurs beschränken wir uns im wesentlichen auf die Untersuchung von Differentialgleichungssystemen der Form

$$\frac{{\partial u\left( {x,t} \right)}}{{\partial t}} = L\left( D \right)u\left( {x,t} \right) + f\left( {x,t} \right)$$
((1))

wobei \(u\left( {x,t} \right) = \left\{ {{u_1}\left( {{x_1},...,{x_m},t} \right),{u_2}} \right.\left( {{x_1},...,{x_m},t} \right),...{u_n}({x_1},...{x_m},t)f\left( {x,t} \right) = \left\{ {{f_1}\left( {{x_1},...,{x_m},t} \right),{f_2}} \right.\left( {{x_1},...,{x_m},t} \right),...{f_n}({x_1},...{x_m},t)\) und Vektorfunktionen sind, die von dem vektoriellen räumlichen Argument x = (x1,...,xm) und der Zeit t abhängen; L(D) ist ein linearer Differentialoperator, Matrix mit variablen Koeffizienten \(D = \left\{ {D_i = \frac{\partial }{{\partial x_i }},i = 1,...m} \right.\).

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© 1969 Springer-Verlag Berlin Heidelberg

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Janenko, N.N. (1969). Homogene Schemata. In: Die Zwischenschrittmethode zur Lösung mehrdimensionaler Probleme der mathematischen Physik. Lecture Notes in Mathematics, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098291

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  • DOI: https://doi.org/10.1007/BFb0098291

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04610-3

  • Online ISBN: 978-3-540-36100-8

  • eBook Packages: Springer Book Archive