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949
Pseudodifferential Operators in Lp(Rn) Spaces∗
, 2003
"... We survey general results on the boundedness of pseudodifferential operators in Lp(Rn). We mainly consider operators with nonregular symbols which are general versions of Hörmander’s class Smρ,δ. We treat the theory in a rather classic and elementary manner. To appear in Cubo Matemática Educaciona ..."
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We survey general results on the boundedness of pseudodifferential operators in Lp(Rn). We mainly consider operators with nonregular symbols which are general versions of Hörmander’s class Smρ,δ. We treat the theory in a rather classic and elementary manner. To appear in Cubo Matemática
Tightening The TheoryExperiment Connection In Physics: Rn Based Space And Time ∗
, 2008
"... Some aspects of replacing C based physics by Cn based physics are discussed. Here Cn = Rn, In where Rn (and In) is a set of length 2n string numbers in some basis. The discussion here is limited to describing the experimental basis and choice for the numbers in Rn, and a few basic but interesting pr ..."
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Some aspects of replacing C based physics by Cn based physics are discussed. Here Cn = Rn, In where Rn (and In) is a set of length 2n string numbers in some basis. The discussion here is limited to describing the experimental basis and choice for the numbers in Rn, and a few basic but interesting
Multiwavelets in R^n with an Arbitrary Dilation Matrix
, 1999
"... We present an outline of how the ideas of selfsimilarity can be applied to wavelet theory, especially in connection to wavelets associated with a multiresolution analysis of R^n allowing arbitrary dilation matrices and no restrictions on the number of scaling functions. ..."
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We present an outline of how the ideas of selfsimilarity can be applied to wavelet theory, especially in connection to wavelets associated with a multiresolution analysis of R^n allowing arbitrary dilation matrices and no restrictions on the number of scaling functions.
BY MAEONA K. JACOBSKRAMER, RN; PHD*
"... As indicated by the title, this volume provides a crtical perspective on major nursing theories using a system of analysis and evaluation developed by the author. Parse organizes five prominent theories into two major sections according to their alliance with major paradigms: a &dquo;totality ..."
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As indicated by the title, this volume provides a crtical perspective on major nursing theories using a system of analysis and evaluation developed by the author. Parse organizes five prominent theories into two major sections according to their alliance with major paradigms: a &
Hyperbolic Gradient Flow: Evolution of Graphs in Rn+1
"... In this paper we introduce a new geometric flow — the hyperbolic gradient flow for graphs in the (n + 1)dimensional Euclidean space Rn+1. This kind of flow is new and very natural to understand the geometry of manifolds. We particularly investigate the global existence of the evolution of convex h ..."
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hypersurfaces in Rn+1 and the evolution of plane curves, and prove that, under the hyperbolic gradient flow, they converge to the hyperplane and the straight line, respectively, when t goes to the infinity. Our results show that the theory of shock waves of hyperbolic conservation laws can be naturally applied
PASS AND LUSTERNIK–SCHNIREL’MAN PATTERNS IN RN
"... Abstract. Solutions of the stationary semilinear Cahn–Hilliard equation −∆2u − u−∆(up−1u) = 0 in RN, with p> 1, which are exponentially decaying at infinity, are studied. Using the Mounting Pass Lemma allows us the determination of two different solutions. On the other hand, the application of ..."
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Abstract. Solutions of the stationary semilinear Cahn–Hilliard equation −∆2u − u−∆(up−1u) = 0 in RN, with p> 1, which are exponentially decaying at infinity, are studied. Using the Mounting Pass Lemma allows us the determination of two different solutions. On the other hand, the application
A nonsmooth critical point theory approach to some nonlinear elliptic equations in R^n
, 2000
"... We determine nontrivial solutions of some semilinear and quasilinear elliptic problems on Rn; we make use of two difierent nonsmooth critical point theories which allow to treat two kinds of nonlinear problems. A comparison between the possible applications of the two theories is also made. ..."
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Cited by 12 (1 self)
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We determine nontrivial solutions of some semilinear and quasilinear elliptic problems on Rn; we make use of two difierent nonsmooth critical point theories which allow to treat two kinds of nonlinear problems. A comparison between the possible applications of the two theories is also made.
Regularity of a free boundary in parabolic potential theory
"... ABSTRACT. We study the regularity of the free boundary in a Stefantype problem 1u − ∂t u = χ in D ⊂ Rn × R, u = ∇u  = 0 on D \ with no sign assumptions on u and the time derivative ∂t u. ..."
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Cited by 44 (8 self)
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ABSTRACT. We study the regularity of the free boundary in a Stefantype problem 1u − ∂t u = χ in D ⊂ Rn × R, u = ∇u  = 0 on D \ with no sign assumptions on u and the time derivative ∂t u.
Abstract. Given a map u: Ω ⊆ Rn − → RN, the ∞Laplacian is the system (1) ∆∞u:=
"... and arises as the “EulerLagrange PDE ” of the supremal functional E∞(u,Ω) = ‖Du‖L∞(Ω). (1) is the model PDE of vectorvalued Calculus of Variations in L ∞ and first appeared in the author’s recent work [K1, K2, K3]. Solutions to (1) present a natural phase separation with qualitatively different be ..."
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of the PDE (1) and shows there can be no regularity theory of interfaces. ’Etant donne ́ une carte u: Ω ⊆ Rn − → RN, le ∞Laplacien est le système (1) ∆∞u:=
Results 11  20
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949