Partial Differential Equations in Applied MathematicsThe Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman +6 more
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On inverse source term for heat equation with memory term
Demonstratio MathematicaIn this article, we first study the inverse source problem for parabolic with memory term. We show that our problem is ill-posed in the sense of Hadamard. Then, we construct the convergence result when the parameter tends to zero. We also investigate the
Duc Nam Bui +3 more
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Closure properties of solutions to heat inequalities [PDF]
, 2008 We prove that if $u_1,u_2 : (0,\infty) \times \R^d \to (0,\infty)$ are sufficiently well-behaved solutions to certain heat inequalities on $\R^d$ then the function $u: (0,\infty) \times \R^d \to (0,\infty)$ given by $u^{1/p}=u_1^{1/p_1} * u_2^{1/p_2 ...
C. Borell +18 more
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Random nonlinear evolution inclusions in reflexive Banach spaces [PDF]
, 1988 In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an m m -dissipative operator.
Avgerinos, E, Papageorgiou, N
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On solving the nonlinear Biswas-Milovic equation with dual-power law nonlinearity using the extended tanh-function method [PDF]
, 2015 In this article, we apply the extended tanh-function method to find the exact traveling wave solutions of the nonlinear Biswas-Milovic equation (BME), which describes the propagation of solitons through optical fibers for trans-continental and trans ...
E. Zayed, Elsayed M.
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Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state [PDF]
, 2016 This is a pre-copy-editing, author-produced PDF of an article accepted for publication in MATHEMATICAL BIOSCIENCES doi:10.3934/mbe.2015003 AND ENGINEERING following peer review. The definitive publisher-authenticated version Mathematical Biosciences and
A. Erez +25 more
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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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BSDE, Path-dependent PDE and Nonlinear Feynman-Kac Formula [PDF]
, 2011 In this paper, we introduce a type of path-dependent quasilinear (parabolic) partial differential equations in which the (continuous) paths on an interval [0,t] becomes the basic variables in the place of classical variables (t,x). This new type of PDE
Peng, Shige, Wang, Falei
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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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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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