Regularity and geometric character of solution of a degenerate parabolic equation
Bulletin of Mathematical Sciences, 2016 This work studies the regularity and the geometric significance of solution of the Cauchy problem for a degenerate parabolic equation $$u_{t}=\Delta {}u^{m}$$ u t = Δ u m . Our main objective is to improve the H $$\ddot{o}$$ o ¨ lder estimate obtained by
Jiaqing Pan
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Null controllability of degenerate parabolic equation with memory [PDF]
Mathematical Methods in the Applied Sciences, 2020 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
Brahim Allal, G. Fragnelli
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Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
Michiel Bertsch +2 more
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Convergence analysis of option drift rate inverse problem based on degenerate parabolic equation
Results in Applied MathematicsIn this paper, we study the convergence of the inverse drift rate problem of option pricing based on degenerate parabolic equations, aiming to recover the stock price drift rate function by known option market prices.
Miao-miao Song +3 more
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On a degenerate parabolic equation from double phase convection [PDF]
Advances in Difference Equations, 2021 The initial-boundary value problem of a degenerate parabolic equation arising from double phase convection is considered. Let a ( x ) $a(x)$ and b ( x ) $b(x)$ be the diffusion coefficients corresponding to the double phase respectively.
Huashui Zhan
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Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation [PDF]
Forum mathematicum, 2022 We carry on the investigation started in [P. Ambrosio and A. Passarelli di Napoli, Regularity results for a class of widely degenerate parabolic equations, preprint 2022, version 3, https://arxiv.org/abs/2204.05966v3] about the regularity of weak ...
Pasquale Ambrosio
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A Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic Equation [PDF]
SIAM Journal of Control and Optimization, 2020 This paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which seeks to find an invertible transformation mapping the degenerate parabolic
L. Gagnon, P. Lissy, S. Marx
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The inverse problem with free boundary for a weakly degenerate parabolic equation [PDF]
, 2012 N. M. Hryntsiv
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Higher regularity for weak solutions to degenerate parabolic problems [PDF]
Calculus of Variations and Partial Differential Equations, 2023 In this paper, we study two related features of the regularity of the weak solutions to the following strongly degenerate parabolic equation $$\begin{aligned} u_t-\textrm{div}\left( \left( \left| Du\right| -1\right) _+^{p-1}\frac{Du}{\left| Du\right ...
Andrea Gentile +1 more
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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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