Geodesic
Temporary deformations of degrees of the wave operator
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 213-228

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The conditions at which the linear differential operators of the second order are equivalent to operators not containing of “friction” (first partial derivatives) are investigated. One can construct iso-Huygens deformations for degrees of the wave operator with time-dependent coefficients. The fundamental solutions of these deformations and conditions, at which the Huygens principle holds are found. 
@article{ZNSL_2005_324_a12,
     author = {S. P. Khekalo},
     title = {Temporary deformations of degrees of the wave operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {213--228},
     publisher = {mathdoc},
     volume = {324},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a12/}
}
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S. P. Khekalo. Temporary deformations of degrees of the wave operator. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 213-228. http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a12/