Titlebook: Distributions, Partial Differential Equations, and Harmonic Analysis; Dorina Mitrea Textbook 2018Latest edition Springer Nature Switzerlan

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https://doi.org/10.1007/978-1-4612-4250-5ng smoothness (measured in a suitable sense). This is the key feature of the so-called Sobolev spaces, introduced and studied at some length in this chapter in a completely self-contained manner. The starting point is the treatment of global .-based Sobolev spaces of arbitrary smoothness in the enti

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Dorina MitreaPursues the development of distribution theory simultaneously with relevant incursions into partial differential equations and harmonic analysis.Written in a concise, rigorous, and largely self-contai

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https://doi.org/10.1007/978-3-030-03296-8Distributions; Fourier Analysis; Fundamental Solutions; Partial Diffential Equations texbook; Potential

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Distributions, Partial Differential Equations, and Harmonic Analysis978-3-030-03296-8Series ISSN 0172-5939 Series E-ISSN 2191-6675

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https://doi.org/10.1007/978-981-16-0819-3duced as a mean of extending the notion of solution to a more general setting, where the functions involved may lack standard pointwise differentiability properties. Here two classes of test functions are also defined and discussed.