Results 11 to 20 of about 14,488 (245)
Numerical quenching for a semilinear parabolic equation
Mathematical Modelling and Analysis, 2008 This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time.
Diabate Nabongo, Theodore K. Boni
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Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
Mathematics, 2023 We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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Degenerate semilinear parabolic equations [PDF]
Differential and Integral Equations, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas Stahel
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Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators [PDF]
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi +2 more
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Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation [PDF]
Boundary Value Problems, 2020 This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution.
Jiazhuo Cheng, Shaomei Fang
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Fourth order semilinear parabolic equations [PDF]
Tsukuba Journal of Mathematics, 1992 The aim of this paper is to give a simple proof of the existence of a smooth solution to the semilinear parabolic equation with fourth order elliptic operator: \[ u_ t= -\varepsilon^ 2 \Delta^ 2 u+ f(t,x,u,u_ x,u_{xx}),\tag{1} \] \(x\in \Omega\subset \mathbb{R}^ n\), \(\Omega\) is a bounded domain, \(t\in [0,T_{\max})\), \(T_{\max}\leq +\infty\).
Tomasz Dłotko
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Global attractor for a semilinear parabolic equation involving Grushin operator
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
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Lack of smoothing for bounded solutions of a semilinear parabolic equation
Advances in Nonlinear Analysis, 2020 We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0.
Fila Marek, Lankeit Johannes
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SMOOTHING EFFECT IN SEMILINEAR PARABOLIC EQUATIONS [PDF]
Demonstratio Mathematica, 2003 Joanna Napiórkowska
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