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On the Existence and Uniqueness of Solutions of the Equation
John C. Cleménts
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Source: Crossref
Published: Jun 1, 1975
DOI: 10.4153/cmb-1975-036-1
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Abstract The existence and uniqueness of strong global solutions of initial-boundary value problems for the quasilinear equation u tt —∂σ i (u xi )/∂x i —Δ N u t = f is established for functions σ i (ξ), i = 1, …, N, satisfying: σ i ,(ξ) ∊ C 1 (-∞, ∞), σ i (0) = 0 and for some constant K 0 .
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