厌烦
发表于 2025-3-26 23:43:38
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Calculus
发表于 2025-3-27 02:14:13
Maximum Principles,In this chapter we will consider another approach to issues of uniqueness and stability, based on maximum values. This method applies generally to elliptic equations, which describe equilibrium states, and to parabolic equations, which are generally used to model diffusion.
男生戴手铐
发表于 2025-3-27 09:16:35
Weak Solutions,As noted in Sect. ., it is possible to define weak solutions of a PDE that are not sufficiently differentiable to solve the equation literally. In this chapter we will discuss the mathematical formulation of this generalized notion of solution.
形上升才刺激
发表于 2025-3-27 10:05:06
Variational Methods,In this chapter we will develop a strategy that involves reformulating a PDE in terms of a minimization problem on a function space.
松软
发表于 2025-3-27 14:36:31
Distributions,To define weak derivatives in Chap. ., we measured the values of a solution using test functions. Taking this idea one step further leads to a generalization of the concept of a function, called a distribution.
Factual
发表于 2025-3-27 19:23:19
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流出
发表于 2025-3-27 22:36:59
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handle
发表于 2025-3-28 04:24:55
David BorthwickPerfect book for a ?One-semester PDE course.Includes a thorough discussion of modeling process for each equation.Covers indepth three types of linear PDES: elliptic, parabolic, and hyperbolic?.Include
断言
发表于 2025-3-28 06:51:46
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Junction
发表于 2025-3-28 11:22:33
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