One-Dimensional Wave Equations Defined by Fractal Laplacians

John Fun-Choi Chan; Sze-Man Ngai; Alexander Teplyaev

One-Dimensional Wave Equations Defined by Fractal Laplacians

John Fun-Choi Chan, Sze-Man Ngai, Alexander Teplyaev

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<div class="line" id="line-29"> We study one-dimensional wave equations de&filig;ned by a class of fractal Laplacians. These Laplacians are de&filig;ned by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev.</div>

Original language	American English
State	Published - Oct 2 2010
Event	Fall Eastern Sectional Meeting of the American Mathematical Society (AMS) - Syracuse, NY Duration: Oct 2 2010 → …

Conference

Conference	Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)
Period	10/2/10 → …

Keywords

Fractal Laplacians

DC Disciplines

Mathematics

Cite this

@conference{1f3d4f5df66b42b0aead08c65404b1b0,

title = "One-Dimensional Wave Equations Defined by Fractal Laplacians",

abstract = " We study one-dimensional wave equations de&filig;ned by a class of fractal Laplacians. These Laplacians are de&filig;ned by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev.",

keywords = "Fractal Laplacians",

author = "Chan, {John Fun-Choi} and Sze-Man Ngai and Alexander Teplyaev",

year = "2010",

month = oct,

day = "2",

language = "American English",

note = "Fall Eastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 02-10-2010",

}

TY - CONF

T1 - One-Dimensional Wave Equations Defined by Fractal Laplacians

AU - Chan, John Fun-Choi

AU - Ngai, Sze-Man

AU - Teplyaev, Alexander

PY - 2010/10/2

Y1 - 2010/10/2

N2 - We study one-dimensional wave equations de&filig;ned by a class of fractal Laplacians. These Laplacians are de&filig;ned by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev.

AB - We study one-dimensional wave equations de&filig;ned by a class of fractal Laplacians. These Laplacians are de&filig;ned by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev.

KW - Fractal Laplacians

UR - http://www.ams.org/amsmtgs/2176_abstracts/1062-28-154.pdf

M3 - Presentation

T2 - Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 2 October 2010

ER -

One-Dimensional Wave Equations Defined by Fractal Laplacians

Abstract

Conference

Keywords

DC Disciplines

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