Hilbert Space Methods for Partial Differential Equations
Hilbert Space Methods for Partial Differential Equations
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DOI：
10.58997/ejde.mon.01
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发表时间：
1979-07
影响因子：
0.7
通讯作者：
R. Showalter
中科院分区：
文献类型：
--
作者：
R. Showalter
这本书是我们在过去八年里几乎定期开设的一门课程的产物。它是针对数学，工程和物理科学的研究生开始。因此，我们试图在假定一个最小的背景的情况下提出它：假定读者事先对"线性“和"连续”的概念有一些了解，并且相信（\L^2\）是完备的。本科数学培训通过勒贝格积分是一个理想的背景，但我们不敢假设它没有拒绝我们的许多最好的学生。正式的先决条件包括一个良好的先进的微积分课程和学习偏微分方程的动机。
This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences. Thus, we have attempted to present it while presupposing a minimal background: the reader is assumed to have some prior acquaintance with the concepts of ``linear ''and ``continuous'' and also to believe (\L^2\) is complete. An undergraduate mathematics training through Lebesgue integration is an ideal background but we dare not assume it without turning away many of our best students. The formal prerequisite consists of a good advanced calculus course and a motivation to study partial differential equations.