By separation of variables, we construct particular solutions of an equation of mixed elliptic-hyperbolic type of the second kind with strong degeneration in a rectangular domain. We pose certain transmission conditions on the singular line. The constructed solutions satisfy the equation in the entire mixed domain and are used to study the uniqueness of the solution of the Dirichlet problem for this domain. © 2013 Pleiades Publishing, Ltd
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In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
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By separation of variables, we construct particular solutions of an equation of mixed elliptic-hyper...
By separation of variables, we construct particular solutions of an equation of mixed elliptic-hyper...
By separation of variables, we construct particular solutions of an equation of mixed elliptic-hyper...
We study the first boundary value problem for the elliptic-hyperbolic type equation with two perpend...
In this article, the first boundary problem for the mixed type equation with two degeneration lines ...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
We present joint work with Daniela Lupo and Cathleen Morawetz on the question of existence and uniqu...
Equations of mixed elliptic-hyperbolic type with a homogeneous Di-richlet condition imposed on the e...
This paper considers the Riemann-Hilbert problem for linear mixed (elliptic-hyperbolic) complex equa...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
This article deals with some elliptic complex equations of first order, i.e. the generalized Beltram...
In this article, an elliptic equation, which type degenerates (either weakly or strongly)at the axis...
This article deals with the Riemann-Hilbert boundary value problem for quasilinear mixed (elliptic-h...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...