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The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required.
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Michael Depue
reviewed The Dirichlet problem with L²-boundary data for elliptic linear equations on February 21, 2011
The Dirichlet problem with L²-boundary data for elliptic linear equations
The name of the story that I read is "How Serval Got His Spots" and since this is a fable, there isn't a author. This fable was told by the Ndebele people which is a community of people in Africa. The genre of this book is Folklore and the sub genre of this story is Fables. I chose to read this story for my English Presentation, since our unit is about fables. This particular story is retold by Nick Greaves.
This story explains how Servals got their spots. The setting of this book is In Africa, a long time ago. The central characters are a Serval and a snake. In this fable, Servals had no spots, and therefore were called 'Lion's Little Cousins'. Servals wished nothing but to have a beautiful coat like a Zebra. Then, one day when a snake got sick and no one else would help him, Serval was so nice to help him get better. To thank this act of kindness, the snake bit the Serval, and gave him spots.
This story teaches me a lesson about being kind and helpful. The Serval helped the snake when he was sick and no one else would help him. Also I think this story teaches that you should be kind to others, or else not many people will offer to help you when you need help. I liked this story because I think it teaches you important lessons. Since this is a fable, the characters didn't seem real. (Animals can talk) All in all, I liked this story.
10 - 13
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