References
- Rundell W. Determination of an unknown nonhomogeneous term in a linear partial differential equation from overspecified boundary data. Applicable Analysis. 1980;10:231–242.
- Hasanov A. Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solutions approach. Journal of Mathematical Analysis and Applications. 2007;330:766–779.
- Prilepko AI, Orlovsky DG, Vasin IA. Methods for solving inverse problems in mathematical physics. New York: Marcel Dekker; 1999.
- Lorenzi A, Prilepko AI. Fredholm-type results for integrodifferential identification parabolic problems. Differential Integral Equations. 1993;6:535–552.
- Anikonov YE, Lorenzi A. Explicit representation for the solution to a parabolic differential identification problem in a Banach space. Journal of Inverse and Ill-posed Problems. 2007;15:669–681.
- Belov YY. Inverse problems for partial differential equations. Inverse Ill-posed Problems Series Utrecht: VSP; 2002.
- Guidetti D. Partial reconstruction of the source term in a linear parabolic initial value problem. Journal of Mathematical Analysis and Applications. 2009;355:796–810.
- Grisvard P. Elliptic problems in nonsmooth domains. Boston: Pitman Advanced Publishing Program; 1985.
- Guidetti D. The mixed Cauchy–Dirichlet problem for the heat equation in a plane angle in spaces of Hölder-continuous functions. Advances in Differential Equations. 2001;6:897–930.
- Lunardi A. Analytic semigroups and optimal regularity in parabolic problems. Basel: Birkhäuser; 1995.
- Grisvard P. Spazi di tracce e applicazioni. Rendiconti di Matematica. 1972;6:657–729.
- Grisvard P. Commutativité de deux foncteurs d’interpolation et applications. Journal de Mathématiques Pures et Appliquées. 1966;45:143–206.
- Guidetti D, Piskarev S. On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems. Abstract and Applied Analysis. 2003;18:1005–1035.
- Cristo M, Guidetti D, Lorenzi A. Abstract parabolic equations with applications to problems in cylindrical space domains. Advances in Differential Equations. 2010;15:1–42.
- Adams R. Sobolev spaces. Amsterdam: Academic Press; 1975.
- Stewart B. Generation of analytic semigroups by strongly elliptic operators under general boundary conditions. Transactions of the American Mathematical Society. 1980;259:299–310.
- Guidetti D. On interpolation with boundary conditions. Mathematische Zeitschrift. 1991;207:439–460.