Titlebook: Distribution Theory Applied to Differential Equations; Adina Chirilă,Marin Marin,Andreas Öchsner Book 2021 The Editor(s) (if applicable) a

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Springer Series in Wood ScienceWe present local and pseudolocal operators, give examples and study their properties. Then we discuss the hypoelliptic partial differential operators and their properties. Finally, we study the existence of fundamental solutions.

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Introduction,We give a brief motivation for the concept of distributions. We explain why this concept is useful in applied mathematics. We present some landmarks in the history of this subject. Then we present the main topics and results in the theory of distributions.

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Analogy

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吼叫

Convex and Lower-Semicontinuous Functions,ies in compact topological spaces and in Banach spaces. The final section presents some properties of functions that are both convex and lower-semicontinuous. More precisely, some conditions are discussed that are needed for such a function to take a minimum value on a Banach space.

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Osteons