\(B\)-coercive convolution equations in weighted function spaces and their applications

DOI10.1007/s11253-018-1458-3OpenAlexW2800497555WikidataQ129833531 ScholiaQ129833531MaRDI QIDQ1617853

Veli B. Shakhmurov, Hummet K. Musaev

Publication date: 8 November 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1458-3

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Applications of operator theory to differential and integral equations (47N20) Linear operators on function spaces (general) (47B38) Initial value problems for higher-order parabolic equations (35K30) Higher-order elliptic equations (35J30) Integro-partial differential equations (35R09)

Related Items (4)

A Note on Stability of Parabolic Difference Equations on Torus ⋮ The Cauchy problem for nonlocal abstract Schrödinger equations and applications ⋮ Unnamed Item ⋮ Regularity of solutions to elliptic equations on Herz spaces with variable exponents

Cites Work

• Regularity properties of degenerate convolution-elliptic equations
• Embedding operators in vector-valued weighted Besov spaces and applications
• Maximal B-regular integro-differential equation
• Semigroup estimates and noncoercive boundary value problems
• Embedding theorems in Banach-valued \(B\)-spaces and maximal \(B\)-regular differential-operator equations
• Maximal regularity and global well-posedness for a phase field system with memory
• Maximal regular boundary value problems in Banach-valued weighted space
• Sectorial operators with convolution term
• Evolutionary Integral Equations and Applications
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
• Tools for maximal regularity
• Operator–valued Fourier multiplier theorems on Besov spaces
• B-separable anisotropic convolution operators and applications
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES
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