Geodesic
Unique Solvability of an Analog of the Tricomi Problem with Nonlocal Integral Conjugation Condition
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 867-876

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Using an alternating method of Schwartz type, we prove the unique solvability of the elliptic-hyperbolic equation in the class of generalized solutions of an analog of the Tricomi problem with nonlocal integral conjugation condition for the case of an arbitrary approach of the elliptic boundary of the domain to the line of type change with the exception of the case of tangency.
Keywords: elliptic-hyperbolic equation, Tricomi problem, alternating method of Schwartz type, Riemann function, maximum principle.
Mots-clés : Goursat problem 
@article{MZM_2010_87_6_a7,
     author = {E. R. Mansurova},
     title = {Unique {Solvability} of an {Analog} of the {Tricomi} {Problem} with {Nonlocal} {Integral} {Conjugation} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {867--876},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a7/}
}
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E. R. Mansurova. Unique Solvability of an Analog of the Tricomi Problem with Nonlocal Integral Conjugation Condition. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 867-876. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a7/