Results 201 to 210 of about 87,102,086 (248)

Weak solutions to joined nonlinear systems of PDEs

open access: yesZeitschrift für angewandte Mathematik und Physik, 2001
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
N. Bubner, W. Horner, J. Sokołowski
semanticscholar   +4 more sources

Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs

SIAM Journal on Numerical Analysis, 2012
Summary: The purpose of this paper is to provide global existence and uniqueness results for a family of fluid transport equations by establishing convergence results for the particle method applied to these equations. The considered family of PDEs is a collection of strongly nonlinear equations which yield traveling wave solutions and can be used to ...
Alina Chertock   +2 more
semanticscholar   +4 more sources

Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs [PDF]

open access: possibleAdvances in Calculus of Variations, 2009
The authors consider \(\mathbb H\)-regular graphs, a class of intrinsic regular hypersurfaces in the Heisenberg group \({\mathbb H}^n={\mathbb C}^n\times {\mathbb R}\) endowed with a left invariant metric \(d_\infty\) equivalent to its Carnot Caratheodory metric.
Francesco Bigolin, F. S. Cassano
semanticscholar   +2 more sources

Weak Solutions of Semilinear PDEs in Sobolev Spaces and Their Probabilistic Interpretation via the FBSDEs

Stochastic Analysis and Applications, 2006
The article is devoted to representation of weak solutions (in Sobolev sense) of degenerate parabolic partial differential equations through forward-backward stochastic differential equations. Before, we prove a weak version of a norm equivalence result.
Y. Ouknine, I. Turpin
semanticscholar   +2 more sources

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