Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients

DOI10.1016/0022-0396(73)90009-0zbMath0255.35050OpenAlexW1977783558MaRDI QIDQ2558603

David Colton

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90009-0

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
• Certain non-steady flows of second-order fluids
• Parabolic and pseudo-parabolic partial differential equations
• Partial differential equations of Sobolev-Galpern type
• Local regularity of solutions of Sobolev-Galpern partial differential equations
• Integral operators and complete families of solutions for \(\Delta^ 2_{p+2}u(x) + A(r^ 2)\Delta_{p+2}u(x) + B(r^ 2)u(x) = 0\)
• Pseudoparabolic equations in one space variable
• Weak solutions of nonlinear evolution equations of Sobolev-Galpern type
• Integral Operators in the Theory of Linear Partial Differential Equations
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Pseudoparabolic Partial Differential Equations
• Well-Posed Problems for a Partial Differential Equation of Order $2m + 1$
• The Construction of Solutions for Boundary Value Problems by Function Theoretic Methods
• ON THE ANALYTIC THEORY OF PSEUDOPARABOLIC EQUATIONS