Results 61 to 70 of about 243 (185)
Degenerate semilinear parabolic equations
Differential and Integral Equations, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
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Hermite solution for a new fractional inverse differential problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj +2 more
wiley +1 more source
Optimized Predator‐Prey and MPA Based Fishing Strategies for the Baltic Sea
Natural Resource Modeling, Volume 38, Issue 1, February 2025.ABSTRACT Marine protected areas (MPAs) have become the de‐facto mechanism for marine species conservation and management and the ecological benefits of no take zones (NTZs) are supported by an expanding scientific interest in their effectiveness. However, in the south‐western Baltic region there is a paucity of studies on the validity of MPAs, possibly
Simon Taylor, Malte Braack
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Stabilization of solutions for semilinear parabolic systems as $|x|o infty$
Electronic Journal of Differential Equations, 2009 We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
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Semilinear evolution equations of the parabolic type [PDF]
Annales Polonici Mathematici, 1999 The author proves an existence and uniqueness result concerning classical solutions to a semilinear time-dependent differential equation in a real Banach space.
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Semilinear parabolic equations in $L^1(\Omega)$
Advances in Differential Equations, 2007 n ...
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Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
Discrete and Continuous Dynamical Systems - B, 2019 The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing Inertial Manifolds for such type of problems is suggested and optimal spectral gap conditions which guarantee their existence are established.
Chepyzhov, Vladimir V. +3 more
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A semilinear parabolic boundary-value problem in bioreactors theory
Electronic Journal of Differential Equations, 2004 In this paper, we analyze a dynamical model describing the behavior of bioreactors with diffusion. We obtain a convergence result for solutions of asymptotically autonomous semilinear parabolic equations to steady state solutions of the limiting ...
Abdou Khadry Drame
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