Boundary Value Problems for Third Order Equations with Discontinuous Coefficient
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We establish the existence and uniqueness of regular solutions to boundary value problems for the third order equation sgn \( y{u_{yyyy }}\pm Au+c\left( {x,y} \right)u=f\left( {x,y} \right) \) with an elliptic operator of the form \( Au=\frac{\partial }{{\partial {x_j}}}({a^{ij }}(x){u_{{{x_i}}}}), \)
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References
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