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The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
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...
Boundary value problem for a classical semilinear parabolic equation
positive solution global existence blow-up omega-limit
2011/2/28
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
Entropy Solutions for a Non-Uniformly Parabolic Equation
Entropy solutions Existence Uniqueness Parabolic
2015/5/4
In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some ...