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Random Set Solutions to Stochastic Wave Equations
This paper is devoted to three topics. First, proving a measurability theorem
for multifunctions with values in non-metrizable spaces, which is required to
show that solutions to stochastic wave equations with interval parameters are
random sets; second, to apply the theorem to wave equations in arbitrary space
dimensions; and third, to computing upper and lower probabilities of the values
of the solution in the case of one space dimension