… Page 4. BOUNDARY VALUE PROBLEMS OF MATHEMATICAL PHYSICS 287 (1.9) … po 2.2. ~.
Existence-Pheorem. Theorem 2 . 1 - We assume that ( 2 . 1 ) ( 2 . 2 ) ( 2 . 3 ) hold trxe. There
exists-functions u p Tush t&a& - --__ - E L 2 (o,T;v) n L~(o,T;H), P t L~(Q) (2.4) …

… Professional physicists could well start directly in Part III, returning to earlier material only … laboratory
experiment, numerical simulation, or formal analysis according to the methods of theoretical
physics. The existence of a phase transition in a two-dimensional Coulomb gas (the …

In this article we give an existence theorem for localized travelling wave solutions on one-
dimensional lattices with Hamiltonian H= ∑ n ∈ Z\left (1 2 p_n^ 2+ V (q_ n+ 1-q_n)\right),
where V (·) is the potential energy due to nearest-neighbour interactions. Until now, apart …

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… if they exist, under time translation, spatial translation and spatial rotation .5 Needless to say,
these conservation laws may be obtained without recourse to Noether's theorem, ie … f were led
to postulate the existence … Courant and D. Hilbert, Methods of Mathematical Physics,Vol. 1 …

… 372 8.3.1. Existence Proof … Introduction 1. We begin by giving a simple example of a partial
differential inequality that occurs in an elementary physics problem … 3) u(x,0)=uo(x). We note that
conditions (2) are non linear; they imply that, at each fixed instant t, there exist on T …

… we received a generous grant (1970– 1973) as an initial help which made our existence as a …
went through the manuscript in a seminar and commented extensively on questions of interest
to physicists … In particular, it applies to the standard operators of analysis and physics …

… of the theory is made using equations that are of particular interest for the mathematician and
the physicist … u(t, x) for all t 2 0, we have to know more about the underlying physics … B. Riemann
founded some of his famous existence theorems on it and K. Weierstrass gave the first …

… A Social Equilibrium Existence Theorem. Gerard Debreu. PNAS October 1, 1952 38 (10)
886-893; https://doi.org/10.1073/pnas.38.10.886. Gerard Debreu. Cowles Commission for
Research in Economics … See related content: Debreu's social equilibrium existence theorem …

A general gauge action is defined by postulating a minimum of its properties necessary for
the existence of loop expansion in the quantum theory. The structure of the general gauge
algebra is derived from these postulates. The proof of existence of the structure functions …