Linear Inverse Coefficient Problems for Degenerate Elliptic Equations Full article
| Source | Modern Methods in Mathematical Physics and their Applications Compilation, 2026. 328 c. ISBN 978-3-032-13871-2. |
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| Output data | Year: 2026, Pages: 179-188 Pages count : 10 DOI: 10.1007/978-3-032-13872-9_21 | ||
| Tags | Degenerate elliptic equations · Inverse problems · Unknown external influence · Regular solutions · Existence · Uniqueness | ||
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Abstract:
We study the solvability in Sobolev spaces of inverse coefficient problems of finding the solution u(x, t). and the coefficient q(t). in the equation
. utt + ϕ(t)uxx + au = f (x, t) + q(t)h(x, t) where ϕ(t). is a nonnegative function. We prove existence and uniqueness theorems for regular solutions, that is, solutions having all the weak derivatives in the sense of Sobolev occurring in the equation. Some possible generalizations of the results are also discussed.
Cite:
Kozhanov A.I.
Linear Inverse Coefficient Problems for Degenerate Elliptic Equations
In compilation Modern Methods in Mathematical Physics and their Applications. 2026. – C.179-188. – ISBN 978-3-032-13871-2. DOI: 10.1007/978-3-032-13872-9_21 OpenAlex
Linear Inverse Coefficient Problems for Degenerate Elliptic Equations
In compilation Modern Methods in Mathematical Physics and their Applications. 2026. – C.179-188. – ISBN 978-3-032-13871-2. DOI: 10.1007/978-3-032-13872-9_21 OpenAlex
Dates:
| Published online: | Jun 4, 2026 |
Identifiers:
| ≡ OpenAlex: | W7168608935 |