Geodesic
On an initial-boundary value problem for a semilinear differential-algebraic system of partial differential equations of index~(1,0)
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 70-82.

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We consider a mixed problem for some semilinear differential-algebraic system of partial differential equations of index (1,0) of the first order with a two-dimensional rectangular domain of definition. Using the method of characteristics and the method of successive approximations, the theorem of the existence and uniqueness of the classical solution of a mixed problem in the entire domain of definition is proved. It is shown that the solution and its first derivatives remain bounded in this region.
Mots-clés : differential-algebraic system, index of system, matrix pencil, method of characteristics. 
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S. V. Svinina; A. K. Svinin. On an initial-boundary value problem for a semilinear differential-algebraic system of partial differential equations of index~$(1,0)$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 70-82. https://geodesic-test.mathdoc.fr/item/IVM_2019_5_a6/

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