scholarly journals A GLOBAL EXISTENCE THEOREM FOR SOME DIFFERENTIAL EQUATIONS IN HILBERT SPACES

1964 ◽  
Vol 51 (6) ◽  
pp. 1019-1022 ◽  
Author(s):  
S. Zaidman
Keyword(s):  
Global Existence ◽  
Differential Equations ◽  
Existence Theorem ◽  
Hilbert Spaces ◽  
Global Existence Theorem

scholarly journals GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME

2017 ◽  
Vol 13 (1) ◽  
pp. 7087-7118 ◽  
Author(s):  
Noutchegueme Norbert
Keyword(s):  
Scalar Field ◽  
Global Existence ◽  
Cosmological Constant ◽  
Existence Theorem ◽  
Regular Solution ◽  
Existence And Uniqueness ◽  
Bianchi Type ◽  
Type I ◽  
Field System ◽  
Global Existence Theorem

We prove an existence and uniqueness of regular solution to the Einstein-Maxwell-Boltzmann-Scalar Field system with pseudo-tensor of pressure and the cosmological constant globaly in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the global existence theorem.

On the Diffeomorphisms Between Banach and Hilbert Spaces

2012 ◽  
Vol 12 (1) ◽  
Author(s):  
Dariusz Idczak ◽  
Andrzej Skowron ◽  
Stanislaw Walczak
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Differential Equations ◽  
Existence Theorem ◽  
Hilbert Spaces ◽  
Mountain Pass Theorem ◽  
Sufficient Conditions ◽  
Mountain Pass ◽  
Final Part

AbstractIn this paper, we give some sufficient conditions for f : X → H to be a diffeomorphism, where X is a Banach space and H is a Hilbert space. The proof of the result is based on the mountain pass theorem. Using this result, in the final part of the paper, we prove an existence theorem for some class of integro-differential equations.

A global existence theorem for the nonlinear BGK equation

1989 ◽  
Vol 55 (5-6) ◽  
pp. 1313-1321 ◽  
Author(s):  
William Greenberg ◽  
Jacek Polewczak
Keyword(s):  
Global Existence ◽  
Existence Theorem ◽  
Bgk Equation ◽  
Global Existence Theorem
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