Global regular solutions for the nonhomogeneous Carrier equation

N. A. Larkin

Mathematical Problems in Engineering, 2002, vol. 8, 1-17

Abstract:

We study in a n + 1 -dimensional cylinder Q global solvability of the mixed problem for the nonhomogeneous Carrier equation u t t − M ( x , t , || u ( t ) || 2 ) Δ u + g ( x , t , u t ) = f ( x , t ) without restrictions on a size of initial data and f ( x , t ) . For any natural n, we prove existence, uniqueness and the exponential decay of the energy for global generalized solutions. When n=2 , we prove C ∞ ( Q ) -regularity of solutions.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:821930

DOI: 10.1080/10241230211382

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