This textbook is intended for students who wish to obtain an introduction to the theory of partial di?erential equations (PDEs, for short), in particular, those of elliptic type. Thus, it does not o?er a comprehensive overview of the whole ?eld of PDEs, but tries to lead the reader to the most important methods and central results in the case of elliptic PDEs. The guiding qu- tion is how one can ?nd a solution of such a PDE. Such a solution will, of course, depend on given constraints and, in turn, if the constraints are of ...
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This textbook is intended for students who wish to obtain an introduction to the theory of partial di?erential equations (PDEs, for short), in particular, those of elliptic type. Thus, it does not o?er a comprehensive overview of the whole ?eld of PDEs, but tries to lead the reader to the most important methods and central results in the case of elliptic PDEs. The guiding qu- tion is how one can ?nd a solution of such a PDE. Such a solution will, of course, depend on given constraints and, in turn, if the constraints are of the appropriate type, be uniquely determined by them. We shall pursue a number of strategies for ?nding a solution of a PDE; they can be informally characterized as follows: (0) Write down an explicit formula for the solution in terms of the given data (constraints). This may seem like the best and most natural approach, but this is possible only in rather particular and special cases. Also, such a formula may be rather complicated, so that it is not very helpful for detecting qualitative properties of a solution. Therefore, mathematical analysis has developed other, more powerful, approaches. (1) Solve a sequence of auxiliary problems that approximate the given one, and show that their solutions converge to a solution of that original pr- lem. Di?erential equations are posed in spaces of functions, and those spaces are of in?nite dimension.
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New in new dust jacket. International Edition, Brand New, ISBN and Cover same but contents similar to U.S. Edition, Printed in Black & White. End Chapter Exercises may differ. No CD/Access code. Legal to use despite any disclaimer, We ship to PO, APO and FPO adresses in U.S.A. Choose Expedited Shipping for FASTER DELIVERY. Customer Satisfaction Guaranteed.
Edition:
Softcover reprint of hardcover 2nd edition 2007
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
17663987951
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New. Contains: Illustrations, black & white. Graduate Texts in Mathematics . XIV, 356 p. 10 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
Softcover reprint of hardcover 2nd edition 2007
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
17663972663
Shipping Options:
Standard Shipping: $4.57
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Contains: Illustrations, black & white. Graduate Texts in Mathematics . XIV, 356 p. 10 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
Softcover reprint of hardcover 2nd edition 2007
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
11794617505
Shipping Options:
Standard Shipping: $4.57
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Seller's Description:
New. Print on demand Contains: Illustrations, black & white. Graduate Texts in Mathematics . XIV, 356 p. 10 illus. Intended for professional and scholarly audience.
