Elliptic partial differential equations with almost-real coefficients. Memoirs of the American Mathematical Society; 1051.

Barton, Ariel

ISBN 10: 0821887408 / ISBN 13: 9780821887400

Editore: Providence, American Math. Soc, 2013

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Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00354 9780821887400 Sprache: Englisch Gewicht in Gramm: 150.

Codice articolo 2482864

Dati bibliografici

• Titolo: Elliptic partial differential equations with almost-real coefficients. Memoirs of the American Mathematical Society; 1051.
• Editore: Providence, American Math. Soc
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0821887408
• ISBN 13: 9780821887400
• Rilegatura: Softcover
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates.

He shows that for such operators, the Dirichlet problem with boundary data in Lq can be solved for q<∞ large enough. He also shows that the Neumann and regularity problems with boundary data in Lp can be solved for p>1 small enough, and provide an endpoint result at p=1.