Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

This paper deals with the fractional generalization of the integro-differential diffusion-wave equation for the Heisenberg sub-Laplacian, with homogeneous Bitsadze-Samarskii type time-nonlocal conditions. For the considered problem, we show the existence, uniqueness and the explicit representation formulae for the solution

Oblique Derivative Problems for Second Order Equations of Mixed Type in Multiply Connected Domains

In this paper, oblique derivative boundary value problems for second order equations of mixed (elliptic-hyperbolic) type in multiply connected domains is discussed. Firstly the representation of solutions for the above boundary value problem is given, afterwards the uniqueness and existence of solutions of the above problem are stated. In book [1], the author proposed the Dirichlet boundary value problem (Tricomi problem) for second order equations of mixed type in multiply connected domains. In [2, 3], the author only discussed the Dirichlet problem (Tricomi T-2 for the equation u(xx) + sgny u(yy) = 0 in a special doubly connected domain. Up to now we have not seen that other authors have solved it in multiply connected domains. In the present paper, we try to discuss the oblique derivative problem for second order equations of mixed type in multiply connected domains, which includes the Dirichlet problem (Problem T-2) as a special case.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000169505000164&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsCPCI-S(ISTP)