"[F92955C5249F]" . "We study the boundary-value problem , where x , t (0,T), n-1 is a bounded Lipschitz boundary domain, u belongs to a certain Orlicz-Slobodetskii space YR,R(\u03A9). Under certain assumptions on the Orlicz function R, we prove that the solution u belongs to the Orlicz-Sobolev space W1,R(\u03A9 (0,T))."@en . "4" . . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "Ka\u0142amajska, A." . "RIV/67985840:_____/14:00430331" . . "On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space" . "Proceedings of the Royal Society of Edinburgh. A - Mathematics" . . "On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space"@en . "On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space" . "P(GAP201/10/1920), Z(AV0Z10190503)" . . "34377" . "RIV/67985840:_____/14:00430331!RIV15-GA0-67985840" . . . "Sobolev spaces; manifolds; inequalities"@en . . . "21"^^ . "10.1017/S0308210513000218" . . . "Krbec, Miroslav" . . "On solutions to the heat equation with the initial condition in the Orlicz - Slobodetskii space"@en . "144" . "1"^^ . "We study the boundary-value problem , where x , t (0,T), n-1 is a bounded Lipschitz boundary domain, u belongs to a certain Orlicz-Slobodetskii space YR,R(\u03A9). Under certain assumptions on the Orlicz function R, we prove that the solution u belongs to the Orlicz-Sobolev space W1,R(\u03A9 (0,T))." . . . "2"^^ . . "0308-2105" . . "000339948000009" . .