Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Lawrence C. Evans"'
Autor:
Lawrence C. Evans
Publikováno v:
Electronic Journal of Differential Equations, Vol 1993, Iss 03, Pp 1-9 (1993)
establishing interior gradient bounds and Harnack inequalities for both $u$ and $|Du|$, where $u$ is a smooth solution of the degenerate elliptic PDE
Externí odkaz:
https://doaj.org/article/2e7394beda37438b902e21a3d2086cf6
Autor:
Lawrence C. Evans
Publikováno v:
Chinese Annals of Mathematics, Series B. 38:379-392
This paper records for the Hamiltonian H = 1/2 |p|2 + W(x) some old and new identities relevant for the PDE/variational approach to weak KAM theory.
Autor:
Lawrence C. Evans, Te Zhang
Publikováno v:
Nonlinear Analysis. 138:83-92
This mostly expository paper shows how weak convergence methods provide simple, elegant proofs of (i) the stabilization of an inverted pendulum under fast vertical oscillations, (ii) the existence of particle traps induced by rapidly varying electric
Autor:
Lawrence C. Evans, Peyam R. Tabrizian
Publikováno v:
SIAM Journal on Mathematical Analysis. 48:2944-2961
We offer fairly simple and direct proofs of the asymptotics for the scaled Kramers--Smoluchowski equation in both one and higher dimensions. For the latter, we invoke the sharp asymptotic capacity asymptotics of Bovier et al. [J. Eur. Math. Soc. JEMS
Autor:
Lawrence C. Evans, Ronald F. Garzepy
Publikováno v:
Measure Theory and Fine Properties of Functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54c1feae8939342f3a7fe40f9206f3f3
https://doi.org/10.1201/9780203747940-5
https://doi.org/10.1201/9780203747940-5
Autor:
Lawrence C. Evans, Ronald F. Garzepy
Publikováno v:
Measure Theory and Fine Properties of Functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fff1289b47e32a5703b9c5125146ce1
https://doi.org/10.1201/9780203747940-6
https://doi.org/10.1201/9780203747940-6
Autor:
Lawrence C. Evans, Ronald F. Garzepy
Publikováno v:
Measure Theory and Fine Properties of Functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b6711d2e00c4580a9dec7205116e131
https://doi.org/10.1201/9780203747940-2
https://doi.org/10.1201/9780203747940-2
Autor:
Lawrence C. Evans
Publikováno v:
Calculus of Variations and Partial Differential Equations. 50:257-282
This paper introduces a new representation formula for viscosity solutions of nonconvex Hamilton–Jacobi PDE using “generalized envelopes” of affine solutions. We study as well envelope and singular characteristic constructions of equivocal surf