Abstract Methods in Partial Differential Equations |
Contents
FUNCTIONAL ANALYSIS AND DISTRIBUTIONS | 1 |
The Space D | 7 |
Differentiation in and Examples | 11 |
Copyright | |
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Abstract Methods in Partial Differential Equations Robert W. Carroll,Mathematics Limited preview - 2012 |
Common terms and phrases
accretive analytic arbitrary assume bounded sets Browder Cauchy Cauchy problem compact set Consequently consider continuous linear map convergence convex disced convex sets corollary definition demicontinuous denotes densely defined domain duality elliptic equations equicontinuous equivalent example exercise exists fact finite finite-dimensional follows formula functions Further given hemicontinuous hence Hilbert space hyperbolic hypotheses implies integral isomorphism L²(Ta lemma Let F linear form maximal means monotone morphism nonlinear norm obtain open nbh open set polynomial problem proof of theorem prove recall refer reflexive Banach space relatively compact remark satisfies scalar seminorms sequence sesquilinear form Similarly solution strong topology strongly subspace supp suppose theorem 5.1 theory topology u₁ uniformly unique vector bundles vector space weak topology weakly write