Initial-boundary value problem for parabolic equation in \(L^ 1\)

DOI10.3792/pjaa.62.178zbMath0668.35042OpenAlexW2061279539MaRDI QIDQ1118100

Dong-Gun Park

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.178

zbMATH Keywords

initial-boundary value problemevolution operatoruniformly regularstrongly ellipticclass \(C^ m\)class \(C^{2m}\)locally regular

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Solutions to PDEs in closed form (35C05)

Related Items (3)

Analytic semigroups generated by ultraweak operators ⋮ Unnamed Item ⋮ Fractional powers of operators and evolution equations of parabolic type

Cites Work

• Unnamed Item
• On the spectral theory of elliptic differential operators. I
• Dual semigroups and second order linear elliptic boundary value problems
• On the abstract linear evolution equations in Banach spaces
• On the abstract evolution equation of parabolic type
• Note on singular perturbation for abstract differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On Green's functions of elliptic and parabolic boundary value problems
• Équations différentielles abstraites

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