It is elementary that the translation semigroup 0.1 https://www. w3. org/1998/Math/MathML">
S 1 (t) u (x)= u (x+ t), t, x≥ 0 https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1 …

Significantly revised and expanded, this second edition provides readers at all levels-from
beginning students to practising analysts-with the basic concepts and standard tools …

Problems involving Hamilton-Jacobi equations—which we take to be either of the stationary
form $ H (x, u, Du)= 0$ or of the evolution form ${u_ {t}}+ H (x, t, u, Du)= 0$, where $ Du $ is …

This book is about differentiation of functions. It is divided into two parts, which can be used
as different textbooks, one for an advanced undergraduate course in functions of one …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This paper is devoted to a deeper understanding of the heat flow and to the refinement of
calculus tools on metric measure spaces (X,d,m). Our main results are: A general study of …

This is the second edition of a well-received book providing the fundamentals of the theory
hyperbolic conservation laws. Several chapters have been rewritten, new material has been …

We study the entropy stability of difference approximations to nonlinear hyperbolic
conservation laws, and related time-dependent problems governed by additional dissipative …

Queueing theory is a fascinating subject in Applied Probability for two con tradictory
reasons: it sometimes requires the most sophisticated tools of stochastic processes, and it …

This is a revised and expanded version of my 2002 book on real analysis. Some topics and
chapters have been rewritten (ie, Chaps. 7–10) and others have been expanded in several …