Results 21 to 30 of about 1,087 (167)
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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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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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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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Convergence for Degenerate Parabolic Equations
Journal of Differential Equations, 1999 The authors consider degenerate parabolic problems of the form \[ \begin{aligned} u_t-\varphi \bigl(u(x,t) \bigr)_{xx}= f\bigl(u(x,t) \bigr),\quad & x\in (-L,L),\;t>0,\\ u(-L,t)= u(L,t)=0, \quad & t>0,\\ u(x,0)= u_0(t)\geq 0,\quad & x\in (-L,L), \end{aligned} \] where \(\varphi\) and \(f\) are sufficiently regular functions satisfying \(\varphi(0)=0\),
Feireisl, Eduard, Simondon, Frédérique
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On the Weak Characteristic Function Method for a Degenerate Parabolic Equation
Journal of Function Spaces, 2019 For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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A new kind of the solution of degenerate parabolic equation with unbounded convection term
Open Mathematics, 2015 A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic ...
Huashui Zhan
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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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Fundamental solutions for degenerate parabolic equations [PDF]
Acta Mathematica, 1974 This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution Γ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
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