On the Cauchy problem for a semilinear fractional elliptic equation [PDF]
, 2018 We study, for the first time in the literature on the subject, the Cauchy problem for a semilinear fractional elliptic equation. Under an a priori assumption on the solution, we propose the Fourier truncation method for stabilizing the ill-posed problem.
Lesnic, D, Triet, NA, Tuan, NH, Xuan, TD
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Advection-diffusion equations with random coefficients on evolving hypersurfaces [PDF]
, 2017 We present the analysis of advection-diffusion equations with random coefficients on moving hypersurfaces. We define weak and strong material derivative, that take into account also the spacial movement.
Djurdjevac, A.
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A new stability results for the backward heat equation
, 2009 In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained.
Dinh, Alain Pham Ngoc +3 more
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Strong maximum principles for infinite implicit parabolic systems [PDF]
, 2014 In this paper we prove a theorem on strong maximum principles for infinite implicit systems of parabolic differential-functional inequalities together with nonlocal inequalities with functionals in (n + 1)-dimensional sets more general than the ...
Byszewski, Ludwik
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Caloric morphisms between different radial metrics on semi-euclidean spaces of same dimension [PDF]
, 2011 application/pdf論文(Article)journal ...
SHIMOMURA, Katsunori
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Recovering the initial distribution for strongly damped wave equation [PDF]
, 2017 We study for the first time the inverse backward problem for the strongly damped wave equation. First, we show that the problem is severely ill-posed in the sense of Hadamard.
Au, VV, Lesnic, D, Nguyen, DV, Tuan, NH
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Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics Using the Modified Simple Equation Method [PDF]
, 2013 In this article, we apply the modified simple equation method to find the exact solutions with parameters of the (1+1)-dimensional nonlinear Burgers-Huxley equation, the (2+1) dimensional cubic nonlinear Klein-Gordon equation and the (2+1)-dimensional ...
Arnous, A. H., E. Zayed, E. M.
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The two-scale approach to hydrodynamic limits for non-reversible dynamics
, 2015 In a recent paper by Grunewald et.al., a new method to study hydrodynamic limits was developed for reversible dynamics. In this work, we generalize this method to a family of non-reversible dynamics.
Duong, Manh Hong, Fathi, Max
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Harnack's Inequality for Parabolic De Giorgi Classes in Metric Spaces
, 2012 In this paper we study problems related to parabolic partial differential equations in metric measure spaces equipped with a doubling measure and supporting a Poincare' inequality.
Kinnunen, J. +3 more
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An improved stability result for a heat equation backward in time with nonlinear source [PDF]
, 2012 We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data.
Nguyen Huy Tuan, Pham Hoang Quan
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