Partial Differential Relations (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

0 avg rating
( 0 ratings by Goodreads )
 
9783642057205: Partial Differential Relations (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
View all copies of this ISBN edition:
 
 

The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780387121772: Partial Differential Relations (ERGEBNISSE DER MATHEMATIK UND IHRER GRENZGEBIETE 3 FOLGE)

Featured Edition

ISBN 10: 0387121773 ISBN 13: 9780387121772
Publisher: Springer Verlag, 1986
Hardcover

Top Search Results from the AbeBooks Marketplace

Stock Image

1.

Gromov, Misha
Published by Springer
ISBN 10: 3642057209 ISBN 13: 9783642057205
New PAPERBACK Quantity Available: > 20
Seller:
Russell Books
(Victoria, BC, Canada)

Book Description Springer. PAPERBACK. Condition: New. 3642057209 Special order direct from the distributor. Seller Inventory # ING9783642057205

More information about this seller | Contact this seller

Buy New
US$ 147.15
Convert currency

Add to Basket

Shipping: US$ 6.99
From Canada to U.S.A.
Destination, rates & speeds
Stock Image

2.

Gromov, Misha
Published by Springer 2010-10 (2010)
ISBN 10: 3642057209 ISBN 13: 9783642057205
New Quantity Available: 1
Seller:
Chiron Media
(Wallingford, United Kingdom)

Book Description Springer 2010-10, 2010. PF. Condition: New. Seller Inventory # 6666-LSI-9783642057205

More information about this seller | Contact this seller

Buy New
US$ 149.22
Convert currency

Add to Basket

Shipping: US$ 17.78
From United Kingdom to U.S.A.
Destination, rates & speeds