Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems [PDF]
, 2023 summary:This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some ...
Ishida, Sachiko, Yokota, Tomomi
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Null controllability of degenerate parabolic equation with memory [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at .
Allal, Brahim, Fragnelli, Genni
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Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science [PDF]
Electronic Journal of Differential Equations, 2020 We consider a nonlinear degenerate reaction-diffusion equation. First we prove that if the initial state is nonnegative, then the solution remains nonnegative for all time.
Giuseppe Floridia
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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On some degenerate parabolic equations II [PDF]
Nagoya Mathematical Journal, 1973 In the article I: [8], we have proved the hypoellipticity of a degenerate parabolic equation of the form:where the coefficients a(x, t), b(x,t) and c(x, t) are complex valued smooth functions. The fundamental assumption on the coefficients is that Re a(x, t) satisfies the condition of Nirenberg and Treves ([8], (1.5)).
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Attractors for a class of semi-linear degenerate parabolic equations [PDF]
, 2013 We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u|∂Ω = 0, u|t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence of solutions and characterize their ...
Sonner, Stefanie +6 more
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On the local integrability and boundedness of solutions to quasilinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic ...
T. Giorgi, M. O'Leary
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Identification problems for degenerate parabolic equations [PDF]
Applications of Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Awawdeh, Fadi, Obiedat, Hamed M.
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Convergence of Inverse Volatility Problem Based on Degenerate Parabolic Equation
Mathematics, 2022 Based on the theoretical framework of the Black–Scholes model, the convergence of the inverse volatility problem based on the degenerate parabolic equation is studied.
Yilihamujiang Yimamu, Zuicha Deng
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Optimal partial boundary condition for degenerate parabolic equations
, 2021 For the stability of the non-Newtonian fluid equation ∂ u ∂ t − div ( a ( x ) | ∇ u | p − 2 ∇ u ) − ∑ i = 1 N b i ( x ) D i u + c ( x , t ) u = f ( x , t ) , where a ( x ) | x ∈ Ω > 0 , a ( x ) | x ∈ ∂ Ω = 0 and b i ( x ) ∈ C 1 ( Ω ‾ ) , we know that the
Hua-Shui Zhan, Zhaosheng Feng
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