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- W1999461431 abstract "We investigate the existence and the singular structure of delta wave solutions to a semilinear hyperbolic equation with strongly singular initial and boundary conditions. The boundary conditions are given in nonlocal form with a linear integral operator involved. We construct a delta wave solution as a distributional limit of solutions to the regularized system. This determines the macroscopic behavior of the corresponding generalized solution in the Colombeau algebra G of generalized functions. We represent our delta wave as a sum of a purely singular part satisfying a linear system and a regular part satisfying a nonlinear system." @default.
- W1999461431 created "2016-06-24" @default.
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- W1999461431 date "2005-01-01" @default.
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- W1999461431 title "Delta Waves for a Strongly Singular Initial-Boundary Hyperbolic Problem with Integral Boundary Condition" @default.
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- W1999461431 doi "https://doi.org/10.4171/zaa/1229" @default.
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