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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Add this copy of Partial Differential Equations, 2nd Ed to cart. $26.59, new condition, Sold by Express_Books rated 4.0 out of 5 stars, ships from Lakewood, NJ, UNITED STATES, published 2007 by Springer.
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New in new dust jacket. International Edition, Paperback, Brand New, ISBN and Cover image may differ 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.
Add this copy of Partial Differential Equations, 2nd Ed to cart. $26.59, new condition, Sold by Express_Books rated 4.0 out of 5 stars, ships from Lakewood, NJ, UNITED STATES.
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Seller's Description:
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.
Add this copy of Partial Differential Equations to cart. $26.75, very good condition, Sold by semra rated 4.0 out of 5 stars, ships from New York, NY, UNITED STATES, published 2002 by Springer.
Add this copy of Partial Differential Equations, 2nd Edtion to cart. $27.61, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2010 by Springer-Verlag New York Inc..
Add this copy of Partial Differential Equations, 2nd Edtion to cart. $27.93, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2010 by Springer-Verlag New York Inc..
