Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Dirichlet problem
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== * {{springer|author=A. Yanushauskas|id=d/d032910|title=Dirichlet problem}} * S. G. Krantz, ''The Dirichlet Problem''. §7.3.3 in ''Handbook of Complex Variables''. Boston, MA: Birkhäuser, p. 93, 1999. {{ISBN|0-8176-4011-8}}. * [[Sheldon Axler|S. Axler]], [[Pamela Gorkin|P. Gorkin]], K. Voss, ''[https://www.ams.org/mcom/2004-73-246/S0025-5718-03-01574-6/home.html The Dirichlet problem on quadratic surfaces]'', Mathematics of Computation '''73''' (2004), 637–651. * {{Citation | last1=Gilbarg | first1=David | last2=Trudinger | first2=Neil S. | author2-link=Neil Trudinger | title=Elliptic partial differential equations of second order | publisher=[[Springer-Verlag]] | location=Berlin, New York | edition=2nd | isbn=978-3-540-41160-4 | year=2001}}. * Gérard, Patrick; [[Eric Leichtnam|Leichtnam, Éric]]: Ergodic properties of eigenfunctions for the Dirichlet problem. Duke Math. J. 71 (1993), no. 2, 559–607. * {{citation |last=John |first=Fritz |title=Partial differential equations |edition=4th |series=Applied Mathematical Sciences |volume=1 |publisher=Springer-Verlag |year=1982 |isbn=0-387-90609-6 |url-access=registration |url=https://archive.org/details/partialdifferent00john_0}}. * {{citation |last1=Bers |first1=Lipman |last2=John |first2=Fritz |last3=Schechter |first3=Martin |title=Partial differential equations, with supplements by Lars Gårding and A. N. Milgram |series=Lectures in Applied Mathematics |volume=3A |publisher=American Mathematical Society |year=1979 |isbn=0-8218-0049-3}}. * {{citation |title=Lectures on Elliptic Boundary Value Problems |first=Shmuel |last=Agmon |authorlink=Shmuel Agmon |year=2010 |publisher=American Mathematical Society |isbn=978-0-8218-4910-1}} * {{citation |first=Elias M. |last=Stein |authorlink=Elias Stein |year=1970 |title=Singular Integrals and Differentiability Properties of Functions |publisher=Princeton University Press}}. * {{citation |last1=Greene |first1= Robert E. |author1-link=Robert Everist Greene |last2=Krantz |first2=Steven G. |title= Function theory of one complex variable |edition=3rd |series=[[Graduate Studies in Mathematics]] |volume=40 |publisher=American Mathematical Society |year=2006 |isbn=0-8218-3962-4}}. * {{citation |last=Taylor |first= Michael E. |authorlink=Michael E. Taylor |title=Partial differential equations I. Basic theory |edition=2nd |series=Applied Mathematical Sciences |volume=115 |publisher=Springer |year=2011 |isbn=978-1-4419-7054-1}}. * {{citation |last=Zimmer |first= Robert J. |title=Essential results of functional analysis |series=Chicago Lectures in Mathematics |publisher=University of Chicago Press |year=1990 |isbn=0-226-98337-4}}. * {{citation |last=Folland |first=Gerald B. |title=Introduction to partial differential equations |edition=2nd |publisher=Princeton University Press |year=1995 |isbn= 0-691-04361-2}}. * {{citation |title=Introduction to the Theory of Linear Partial Differential Equations |volume=14 |series=Studies in Mathematics and Its Applications |first1=Jacques |last1=Chazarain |first2=Alain |last2=Piriou |publisher=Elsevier |year=1982 |isbn=0444864520}}. * {{citation |last=Bell |first=Steven R. |title=The Cauchy transform, potential theory, and conformal mapping |series=Studies in Advanced Mathematics |publisher=CRC Press |year=1992 |isbn=0-8493-8270-X}}. * {{citation |title=Foundations of Differentiable Manifolds and Lie Groups |series=Graduate Texts in Mathematics |volume=94 |year=1983 |first=Frank W. |last=Warner |isbn=0387908943 |publisher=Springer}}. * {{citation |title=Principles of Algebraic Geometry |first1=Phillip |last1=Griffiths |first2=Joseph |last2=Harris |publisher=Wiley Interscience |year=1994 |isbn=0471050598}}. * {{citation |last=Courant |first= R. |title=Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces |publisher=Interscience |year=1950}}. * {{citation |last1=Schiffer |first1= M. |last2=Hawley |first2= N. S. |title=Connections and conformal mapping |journal=Acta Math. |volume=107 |year=1962 |issue= 3–4 |pages=175–274 |doi=10.1007/bf02545790 |doi-access=free}} {{more footnotes needed|date=June 2021}}
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)