Solvability of Mixed Problems for the Klein–Gordon–Fock Equation in the Class Lp for p ≥ 1
In: Differential Equations
academicJournal
Zugriff:
We prove that the mixed problem for the Klein–Gordon–Fock equation utt(x, t) − uxx(x, t) + au(x, t) = 0, where a ≥ 0, in the rectangle QT = [0 ≤ x ≤ l] × [0 ≤ t ≤ T] with zero initial conditions and with the boundary conditions u(0, t) = μ(t) ∈ Lp[0, T ], u(l, t) = 0, has a unique generalized solution u(x, t) in the class Lp(QT) for p ≥ 1. We construct the solution in explicit analytic form. © 2018, Pleiades Publishing, Ltd.
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Solvability of Mixed Problems for the Klein–Gordon–Fock Equation in the Class Lp for p ≥ 1
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Autor/in / Beteiligte Person: | A.A., Kuleshov ; I.S., Mokrousov ; I.N., Smirnov |
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Zeitschrift: | Differential Equations |
Medientyp: | academicJournal |
DOI: | 10.1134/S0012266118030059 |
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