نتایج جستجو برای: parabolic equations

تعداد نتایج: 251944  

2011
Minh-Binh TRAN

In this paper, we partially answer open questions about the convergence of overlapping Schwarz methods. We prove that overlapping Schwarz methods with Dirichlet transmission conditions for semilinear elliptic and parabolic equations always converge, while overlapping Schwarz methods with Robin transmission conditions only converge for semilinear parabolic equations, but the convergence is not g...

2009
P. Poláčik

This survey is concerned with positive solutions of nonlinear parabolic equations. Assuming that the underlying domain and the equation have certain reflectional symmetries, the presented results show how positive solutions reflect the symmetries. Depending on the class of solutions considered, the symmetries for all times or asymptotic symmetries are established. Several classes of problems, i...

2003
MIRJANA STOJANOVIĆ M. STOJANOVIĆ

We give the regularization for fractional integral by delta sequence and apply it to obtain existence-uniqueness theorems in Colombeau algebras for nonlinear equations with singularities: nonlinear system of integral equations with polar kernel and nonlinear parabolic equations (of ordinary type, with nonlinear conservative term and with Schrödinger kernel) with strongly singular initial data a...

2013
GONG CHEN MIKHAIL SAFONOV Lu

It is known that solutions to second order uniformly elliptic and parabolic equations, either in divergence or nondivergence (general) form, are Hölder continuous and satisfy the interior Harnack inequality. We show that even in the one-dimensional case (x ∈ R1), these properties are not preserved for equations of mixed divergence-nondivergence structure: for elliptic equations Di(a 1 ijDju) + ...

2016
Ugo Gianazza Sandro Salsa

We describe some recent results on the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic p-Laplacian. More precisely we focus on Carleson-type estimates and boundary Harnack principles.

Journal: :Bulletin of the Australian Mathematical Society 2011

Journal: :Advances in Calculus of Variations 2010

Journal: :Applications of Mathematics 1969

Journal: :Journal de Mathématiques Pures et Appliquées 2013

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