On the Construction of Potential Vectors and Generalized Potential Vectors Depending on Time by a Contraction Principle

Wolfgang Tutschke
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Wolfgang Tutschke: Universität Halle, Sektion Mathematik

A chapter in Deformations of Mathematical Structures, 1989, pp 309-317 from Springer

Abstract: Abstract Let L be the first order differential operator acting on u = u(t,x), x = (x1,x2,x3), t ∈ ℝ, x ∈ G, G being a bounded domain in ℝ3. Consider the initial value problem (∂/∂t)u = Lu, u(0,x) = uo(x), where uo = uo (x) is a given generalized potential vector field in G. It is proved that the problem is solvable globally in the cone {(t,x): x ∈ G, 0 ≦ t

Date: 1989
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DOI: 10.1007/978-94-009-2643-1_28

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