Results 41 to 50 of about 14,488 (245)
On a semilinear parabolic equation [PDF]
Proceedings of the American Mathematical Society, 2006 Summary: We introduce a general class of potentials \(V=V(x,t)\) so that the semilinear parabolic equation \( a\Delta u-\frac \partial{\partial t} u+ V u^p =0\) in \(\mathbb{R}^n\times ]0,\infty[, n\geq 3,\, p>1\), \( a>0\), has global positive continuous solutions. These results extend the recent ones proved by \textit{Q. S. Zhang} [Commun.
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Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations [PDF]
, 2011 We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow up in finite time. In particular we consider the backward Euler and the Crank–Nicolson methods.
Charalambos Makridakis +3 more
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Semilinear parabolic equations with prescribed energy [PDF]
Rendiconti del Circolo Matematico di Palermo, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Bei, Yin, Hong-Ming
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Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo +3 more
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, 2020 In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe +2 more
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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Fractal Dimension of a Random Invariant Set and Applications
Journal of Applied Mathematics, 2013 We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
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Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
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Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations
International Journal of Applied Mathematics and Computer Science, 2020 Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory.
Maksimov Vyacheslav, Tröltzsch Fredi
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Global existence of solutions of semilinear heat equation with nonlinear memory condition
, 2019 We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow up in finite time of all nontrivial solutions ...
Gladkov, Alexander, Guedda, Mohammed
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