Singularity and Decay Estimates for a Degenerate Parabolic Equation
Complexity, 2021 In this paper, a degenerate parabolic equation ut−divxθ∇u=xaup with p>1 and ...
Dongyan Li
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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 Mitrovic
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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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The Cauchy Problem for Parabolic Equations with Degeneration [PDF]
Advances in Mathematical Physics, 2020 Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points.
Ivan Pukal’skii, Bohdan Yashan
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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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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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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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