Integral type Cauchy problem for abstract wave equations and applications
DOI10.1080/00036811.2021.2021184zbMath1518.35659OpenAlexW4200348189MaRDI QIDQ6099991
Ravi P. Agarwal, Veli B. Shakhmurov
Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.2021184
wave equationssemigroups of operatorscosine operator functionshyperbolic-operator equationsoperator valued \(L^p\)-Fourier multipliers
One-parameter semigroups and linear evolution equations (47D06) Abstract hyperbolic equations (35L90) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Second-order semilinear hyperbolic equations (35L71)
Cites Work
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- Regularity properties of degenerate convolution-elliptic equations
- Nonlocal problems for Boussinesq equations
- On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary
- Nonlocal boundary value hyperbolic problems involving integral conditions
- Embeddings and separable differential operators in spaces of Sobolev-lions type
- Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms
- Nonlocal fractional differential equations and applications
- The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces
- Solution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulus
- On the regularity properties of a model problem related to wave maps
- The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
- Restriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensions
- Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
- Generalized Strichartz inequalities for the wave equation
- The Cauchy problem for nonlocal abstract Schrödinger equations and applications
- The improved abstract Boussinesq equations and application
- The Cauchy problem for Boussinesq equations with general elliptic part
- Linear and nonlinear degenerate differential operators and applications
- Embedding theorems in Banach-valued \(B\)-spaces and maximal \(B\)-regular differential-operator equations
- On a class of interpolation spaces
- Sur la transformation de Fourier des fonctions à valeurs vectorielles
- The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
- Regularity for the wave equation with a critical nonlinearity
- Global existence for nonlinear wave equations
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Weak and Yet Weaker Solutions of Semilinear Wave Equations
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Operator–valued Fourier multiplier theorems on Besov spaces
- Regularity properties of nonlinear abstract Schrödinger equations and applications
- Hardy type unique continuation properties for abstract Schrödinger equations and applications
- Analysis of Wave Propagation in 1D Inhomogeneous Media
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