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Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
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2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
The Quenching Phenomena for Fourth-order Nonlinear Parabolic Equationos
Quenching phenomena fourth-order parabolic equation Quenching time
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2011/10/15
In this paper, we investigate the quenching phenomena of initial boundary value problem for the fourth-order nonlinear parabolic equations in bounded domains. First, we not only obtain quenching pheno...
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
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2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
Renormalized and Entropy Solutions for Nonlinear Parabolic Equations with Variable Exponents and L1 Data
Variable exponents Renormalized solutions Entropy solutions Exist- ence Uniqueness
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2015/5/4
Abstract. In this paper we prove the existence and uniqueness of both renormalized solutions and entropy solutions for nonlinear parabolic equations with variable exponents and L 1 data. And moreover,...