Geodesic
On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi--Cibrario Type Equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 159-166

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For a generic second-order linear partial differential equation on the plane, the problem of nonlocal normal forms and invariants of a family of its characteristics, as well as the current state of the corresponding theory, is discussed. Potential applications of this theory are demonstrated by the example of solving a special Cauchy problem for a mixed-type equation. 
@article{TM_2019_304_a9,
     author = {A. A. Davydov and Yu. A. Kasten},
     title = {On {Structural} {Stability} of {Characteristic} {Nets} and the {Cauchy} {Problem} for a {Tricomi--Cibrario} {Type} {Equation}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {159--166},
     publisher = {mathdoc},
     volume = {304},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_304_a9/}
}
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A. A. Davydov; Yu. A. Kasten. On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi--Cibrario Type Equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 159-166. http://geodesic.mathdoc.fr/item/TM_2019_304_a9/