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Nonlinear partial differential equations. Lecture notes

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First-order partial differential equations and systems, canonical second-order linear equations, Green's functions, method of characteristics, properties of solutions, and applications. More info» Textbook: Introduction to Partial Differential Equations - A Computational Approach by Aslak Tveito, Ragnar Winther (required) Text is also
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Louis Nirenberg (28 February 1925 – 26 January 2020) was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century. Nearly all of his work was in the field of partial differential equations of his contributions are now regarded as fundamental to the field, such as his proof of the strong maximum principle for second-order parabolic
Distribution (mathematics) - Wikipedia
History. The practical use of distributions can be traced back to the use of Green functions in the 1830s to solve ordinary differential equations, but was not formalized until much later. According to Kolmogorov & Fomin (1957), generalized functions originated in the work of Sergei Sobolev () on second-order hyperbolic partial differential equations, and the ideas were developed in somewhat
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Nonlinear partial differential equations. Lecture notes Nonlinear partial differential equations. Lecture notes Nonlinear partial differential equations. Lecture notes On the role of compressibility in poroviscoelastic models

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