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Browsing by Author "Nam, Danh Hua Quoc"

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    Citation Count: Nam, Danh Hua Quoc...et al. (2020). "On a Kirchhoff diffusion equation with integral condition", Advances in Difference Equations, Vol. 2020, No. 1.
    On a Kirchhoff diffusion equation with integral condition
    (2020) Nam, Danh Hua Quoc; Baleanu, Dumitru; Luc, Nguyen Hoang; Can, Nguyen Huu; 56389
    This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena. The first part of our paper concerns the local existence of the mild solution in Hilbert scales. Our results can be studied into two cases: homogeneous case and inhomogeneous case. In order to overcome difficulties, we applied Banach fixed point theorem and some new techniques on Sobolev spaces. The second part of the paper is to derive the ill-posedness of the mild solution in the sense of Hadamard.