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Superdiffusions and Positive Solutions of Nonlinear PDEs

โœ Scribed by Dynkin E.B.

Book ID
127398109
Year
2005
Tongue
English
Weight
615 KB
Edition
web draft
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES

Superdiffusions and Positive Solutions o
Superdiffusions and Positive Solutions of Nonlinear PDEs
โœ Dynkin E.B. ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› AMS ๐ŸŒ English โš– 769 KB

This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the doma

Polar boundary sets for superdiffusions
Polar boundary sets for superdiffusions and removable lateral singularities for nonlinear parabolic PDEs
โœ S. E. Kuznetsov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 363 KB

Suppose L is a second-order elliptic differential operator in R d and D is a bounded, smooth domain in R d . Let 1 < ฮฑ โ‰ค 2 and let ฮ“ be a closed subset of โˆ‚D. It is known [13] that the following three properties are equivalent: (ฮฑ) ฮ“ is โˆ‚-polar; that is, ฮ“ is not hit by the range of the correspondi

On billiard solutions of nonlinear PDEs
On billiard solutions of nonlinear PDEs
โœ Mark S. Alber; Roberto Camassa; Yuri N. Fedorov; Darryl D. Holm; Jerrold E. Mars ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

This Letter presents some special features of a class of integrable PDEs admitting billiard-type solutions, which set them apart from equations whose solutions are smooth, such as the KdV equation. These billiard solutions are weak solutions that are piecewise smooth and have first derivative discon