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oai:docta.ucm.es:20.500.14352/886492024-10-31T15:07:07Zcom_20.500.14352_14col_20.500.14352_15

Self-similarity in homogeneous stationary and evolution problems Cholewa, Jan W. Rodríguez Bernal, Aníbal Semigroups and linear differential equations Fractional partial differential equations Self-similar solutions Integral representation of solutions Ecuaciones diferenciales Análisis funcional y teoría de operadores 12 Matemáticas We analyse self-similarity properties related to linear elliptic and evolutionary problems involving homogeneous operators in several spaces including measures. We employ these techniques to analyse in particular 2mth-order diffusion equations and the associated fractional problems. Ministerio de Economía, Comercio y Empresa (España) Ministerio de Ciencia, Innovación y Universidades (España) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-11-08T17:13:28Z 2023-11-08T17:13:28Z 2023-05-24 journal article https://hdl.handle.net/20.500.14352/88649 XXXX-XXXX 10.1007/s00028-023-00893-z eng PID2019-103860GB-I00 CEX2019-000904-S Cholewa, J. W., & Rodriguez-Bernal, A. (2023). Self-similarity in homogeneous stationary and evolution problems. Journal Of Evolution Equations, 23(2). https://doi.org/10.1007/s00028-023-00893-z Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ open access application/pdf Springer