Applications of semigroups of operators to non-elliptic differential operators

Chinese Science Bulletin

Volumn 45, Issue 8, 2000, Pages 673-682

  Zheng, Q ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Differential operator; Fourier multiplier; Initial value problem; Integrated semigroup; Regularized semigroup

Indexed keywords

ANALYTIC METHOD; DISSOCIATION CONSTANT; FOURIER TRANSFORMATION; MATHEMATICAL ANALYSIS; OPERATOR; REVIEW;

EID: 0034484025     PISSN: 10016538     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02886170     Document Type: Review

References (68)

1. p spaces
2. Integrated semigroups and abstract Cauchy problems
3. p spaces
4. Integrated semigroups
5. Semigruppi regolarizzabili
6. The Cauchy problem and a generalization of the Hille-Yosida theorem
7. Integrated semigroups and C-semigroups, well-posedness and regularization of differential-operator problems
8. Local C-semigroups and local integrated semigroups
9. C-existence families and improperly posed problems
10. Almost periodic regularized group, semigroups, and cosine functions
11. Controllability of a class of linear systems in Banach space
12. On N-times integrated C-cosine functions
13. C-cosine functions and the abstract Cauchy problem I II
14. Exponentially bounded C-cosine functions of operators
15. Vector-valued Laplace transforms and Cauchy problems
16. Laplace transforms and α-times integrated semigroups
17. Integrated cosine functions
18. On α-times integrated cosine functions
19. Integrated solutions of Volterra integro-differential equations and applications
20. Sobolev imbedding and integrated semigroups
21. A remark on the abstract Cauchy problem on spaces of Hölder continuous functions
22. +)
23. p-spaces
24. Regularized semigroups and systems of linear partial differential equations
25. Matrices of operators and regularized semigroups
26. Semigroups of operators and polynomials of generators of bounded strongly continuous groups
27. n)
28. On linear hyperbolic systems with multiple characteristics
29. Abstract differential operators and Cauchy problems
30. On the Riesz means of the solutions of the Schrödinger equation
31. On some singular Fourier multipliers
32. n)
33. Linear evolution equations in Banach spaces
34. Simultaneous well-posedness
35. p
36. n
37. p-spaces
38. Abstract parabolic systems and regularized semigroups
39. α
40. p-spaces
41. Matrix multiplication operators generating one parameter semigroups
42. p-norms
43. Regularized cosine functions and polynomials of group generators
44. Pseudodifferential operators and regularized cosine functions
45. Polynomials of generators of integrated semigroups
46. Entire solutions of the abstract Cauchy problem
47. Polynomials of the generator of a bounded strongly continuous group
48. C-evolution operators and wellposedness of some linear evolution equations
49. Semigroups and weakly elliptic operators
50. On groups of automorphisms of operator algebras
51. p spectra of pseudodifferential operators generating integrated semigroups
52. Regularized functional calculi, semigroups, and cosine functions for pseudodifferential operators
53. Pseudodifferential operators and regularized semigroups
54. α
55. Gaussian estimates and regularized groups
56. n) and the theory of exponentially bounded C-semigroups
57. Boundary values of holomorphic semigroups
58. p estimates for Schrödinger evolution equations
59. A note on interpolation of semigroups
60. p spaces