On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
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Publication:1608190
DOI10.1155/S0161171202004507zbMath1136.35399MaRDI QIDQ1608190
Publication date: 12 August 2002
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/54059
Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Applications of functional analysis to differential and integral equations (46N20)
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A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition ⋮ Characteristic and mixed problems for second-order equations of the hyperbolic type ⋮ Well-posedness and spectral properties of heat and wave equations with non-local conditions ⋮ An energy inequality and its applications of nonlocal boundary conditions of mixed problem for singular parabolic equations in nonclassical function spaces ⋮ Solvability of nonlinear pseudoparabolic equation with a nonlocal boundary condition. ⋮ A priori estimation of the solution for mixed problems with integral condition for singular parabolic equations ⋮ Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions
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