Partial Differential Equations
Springer, 1982 - 249 páginas
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy 's example of a linear equation without solutions.
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( c ) Duhamel's principle and the general Cauchy problem Problem ( d ) Initial - boundary - value problems ( " Mixed ” problems ) Problems 2.
with initial values u = f , u = 8 for t = 0 the formula u = ug + Tug in ... The solution Ug of a standard problem corresponds to the data ( 2.5 ) .
... 88 , 206-227 initial - value problem 206–215 maximum principle 210 , 215 , 216 mixed problem 220 , 222 non - negative solutions 222-227 regularity 211 ...
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