Results 241 to 247 of about 1,752,237 (247)

New results on maximal $$L^p$$-regularity of a class of integrodifferential equations

Archiv der Mathematik
The authors investigate the following integro-differential equation in a Banach space \(X\): \[ u'(t)=Au(t)+\int_0^ta(t-s)Cu(s)\, ds + f(t), \qquad t\ge 0, \ u(0)=x, \] where \(A:D(A)\subset X\to X\) is the generator of a strongly continuous semigroup \(\{T(t):X\to X; \, t\ge 0\}\), \(a(\cdot )\in L^r(\mathbb{R}^+)\) is a scalar function for \(r\in (1,+
H. Bounit, S. Hadd, Y. Manar
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Finite groups with exactly threep-regular classes

Archiv der Mathematik, 1991
The following Theorem is proved: Let \(G\) be a finite nonsolvable group with \(O_ p(G)=1\). If \(G\) has exactly three \(p'\)-conjugacy classes, then either \(p=2\) and \(G \cong \Sigma_ 5\), \(PGL_ 2(7)\), \(M_{10}\), \(P \Gamma L_ 2(9)\) or \(p=3\) and \(G \cong P \Gamma L_ 2(8)\) or \(p=5\) and \(G \cong A_ 5\).
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Interior W 1,p Regularity and Hölder Continuity of Weak Solutions to a Class of Divergence Kolmogorov Equations with Discontinuous Coefficients

Milan Journal of Mathematics, 2013
In this paper, the authors consider a class of Kolmogorov equation in divergence form defined in a bounded open domain of \(\mathbf R^{N+1}\). Equations of this form have applications in the theory of stochastic processes, in the kinetic theory and in mathematical finance. They have been widely studied by Lanconelli and his school.
Zhu, Maochun, Niu, Pengcheng
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Structure of р-Solvable Groups With Three р-Regular Classes

Canadian Journal of Mathematics, 1991
One of the important invariants of a р-block B of a group algebra is ℓ (B), the number of non-isomorphic simple B-modules. A number of authors calculated ℓ (B) for various types of defect groups of B. In particular, by Olsson [6], it has been proved that if p = 2 and the defect groups of the block B are dihedral or semi-dihedral or generalized ...
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Correction to: Structure of p-Solvable Groups with Three p-Regular Classes

Canadian Journal of Mathematics, 1993
Concerns the article [ibid. 43, No. 3, 559-579 (1991; Zbl 0738.20012)]. Besides some minor misprints the complete list of groups in Theorem B is indicated [cf. also the following review Zbl 0826.20012].
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L^p-regularity for a class of pseudodifferential operators in R^n

2005
We study here a class of pseudodifferential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifferential calculus for these operators, proving in particular a result of L^p -boundedness. Then we derive regularity results in the frame of suitably defined functional spaces of Sobolev type.
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On a Compatibility Condition for the Navier-Stokes Solutions in Maximal $$L^p$$-regularity Class

Hideo Kozono, Senjo Shimizu
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