Peter Lindqvist (1995)
Revista Matemática Iberoamericana
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The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.
Vladimír Ďurikovič (1974)
Annales Polonici Mathematici
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Malyshev, Igor (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Denche, M., Bessila, K. (2001)
Mathematical Problems in Engineering
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Trong, Dang Duc, Quan, Pham Hoang, Tuan, Nguyen Huy (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Łukasz Dawidowski (2017)
Open Mathematics
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In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Volosova, Alexandra K., Volosov, Konstantin Alexandrovich (2009)
International Journal of Mathematics and Mathematical Sciences
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Tuan Nguyen Huy (2014)
Applications of Mathematics
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In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Khelili Besma, Boussetila Nadjib, Rebbani Faouzia (2017)
Open Mathematics
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In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact...
Dongho Chae, Gabriella Tarantello (2004)
Annales de l'I.H.P. Analyse non linéaire
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