Access the full text.
Sign up today, get DeepDyve free for 14 days.
/. Inv. Hi-Posed Problems, Vol.3, No.5, pp.383-391 (1995) © VSP 1995 V.G. BARDAKOV* Received July 26, 1995 Abstract -- We investigate the inverse problem for a generalized kinetic equation and prove that this problem has no more than one solution if some matrices dependent on the equation coefficients are positive definite. We also prove a differential identity which may be useful when solving inverse problems of mathematical physics. Let Q be a domain of the real Euclidean space R n+1 , n > 1, for variables (x,0> where = (xi,...,x n ) G K n , \Xi -- *·\ < ,·, i = 1, ...,n, and a variable t G R satisfies the inequality \t - tQ\ < b. We assume that a, > 0 and 6 > 0, x*· and *o are fixed numbers. We consider the generalized kinetic equation in the domain Q, \(x,t) (1) where ufdw dH dw 9H akl = a*'(x), akl = -alk , *,/ = , . , . , is an operator of the Poisson bracket type and the right-hand side (, t) satisfies the equation We pose the inverse problem. Find functions W(x, t) and (, t) defined in the
Journal of Inverse and Ill-Posed Problems – de Gruyter
Published: Jan 1, 1995
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.