Results 21 to 30 of about 1,329,190 (299)
The solutions Degenerate Elliptic-Parabolic Equations [PDF]
, 2013 We prove some a priori estimates of solutions for degenerate elliptic-parabolic ...
Gadjiev, Tahir +3 more
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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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Degenerate parabolic stochastic partial differential equations [PDF]
, 2012 Well-posedness of degenerate parabolic equations with stochastic forcing is studied.
Hofmanová, Martina
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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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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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Asymptotic expansions for degenerate parabolic equations
Comptes Rendus. Mathématique, 2014 We prove asymptotic convergence results for some analytical expansions of solutions to degenerate PDEs with applications to financial mathematics. In particular, we combine short-time and global-in-space error estimates, previously obtained in the uniformly parabolic case, with some a priori bounds on “short cylinders”, and we achieve short-time ...
PASCUCCI, ANDREA +2 more
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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.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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Admissible conditions for parabolic equations degenerating at infinity [PDF]
St. Petersburg Mathematical Journal, 2008 From the introduction: We investigate existence and uniqueness for bounded solutions of the parabolic Cauchy problem \[ \begin{aligned} \rho\partial_tu= \Delta u\quad &\text{in }\mathbb{R}^n\times \mathbb{R}_+:= S,\\ u= u_0\quad &\text{in }\mathbb{R}^n\times \{0\}\;(n\geq 3).\end{aligned}\tag{1.1} \] Concerning the coefficient \(\rho= \rho(x)\) and the
KAMIN S +2 more
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Degenerate singular parabolic problems with natural growth [PDF]
Opuscula MathematicaIn this paper, we study the existence and regularity results for nonlinear singular parabolic problems with a natural growth gradient term \[\begin{cases}\frac{\partial u}{\partial t}-\operatorname{div}((a(x,t)+u^{q})|\nabla u|^{p-2}\nabla u)+d(x,t)\frac{
Mounim El Ouardy +2 more
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Expansion of positivity to a class of doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish the expansion of positivity of the nonnegative, local, weak solutions to the class of doubly nonlinear parabolic equations $$\partial_t (u^{q}) -\operatorname{div}{(|D u|^{p-2} D u)}=0, \qquad\ p>1 \ \text{and} \ q>0$$ considering ...
Eurica Henriques
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