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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Strong Traces to Degenerate Parabolic Equations [PDF]
SIAM Journal on Mathematical Analysis, 2022 We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the ...
Marko Erceg, Darko Mitrović
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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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Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors.
U.K. Koilyshov +2 more
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On a viscous fourth-order parabolic equation with boundary degeneracy
Boundary Value Problems, 2022 A viscous fourth-order parabolic equation with boundary degeneracy is studied. By using the variational method, the existence of a time-discrete fourth-order elliptic equation with homogeneous boundary conditions is solved.
Bo Liang +4 more
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L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation
Boundary Value Problems, 2021 In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
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Large time behavior for some nonlinear degenerate parabolic equations [PDF]
, 2013 We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations.
Ley, Olivier, Nguyen, Vinh Duc
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Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms [PDF]
Mathematica Bohemica, 2023 In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.
Rabah Mecheter, Fares Mokhtari
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On Degenerate Parabolic Equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The paper deals with the existence of solutions of some generalized Stefan‐type equation in the framework of Orlicz spaces.
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