Control for hyperbolic equations (original) (raw)
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Bulletin of AMS, 1986
Let P be a second-order, strictly hyperbolic differential operator on an open region Q C R n (n > 3) with smooth noncharacteristic boundary. Given a solution u G fff oc (n), s > (n + l)/2, to Pu = f(x,u), we discuss the propagation of microlocal H r singularities in the range s < r < 2s -n/2 in the general case where the Hamilton field of p may be tangent to dT* f2\0 to arbitrarily high finite or infinite order.
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