A wave inequality with convolution nonlinearities
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Publication:6181560
DOI10.1007/s00009-023-02530-yOpenAlexW4388341287MaRDI QIDQ6181560
Publication date: 22 January 2024
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-023-02530-y
Partial differential inequalities and systems of partial differential inequalities (35R45) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
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- Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity
- Two dimensional exterior mixed problem for semilinear damped wave equations
- Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Strong instability of standing waves for a nonlocal Schrödinger equation
- On a class of non linear Schrödinger equations with non local interactions
- New blow-up results for nonlinear boundary value problems in exterior domains
- Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of \(\mathbb{R}^n\)
- Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Polyharmonic inequalities with nonlocal terms
- Fujita type results for quasilinear parabolic inequalities with nonlocal terms
- Higher order evolution inequalities with nonlinear convolution terms
- Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms
- New blow-up phenomena for hyperbolic inequalities with combined nonlinearities
- Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
- Critical exponent for semi-linear wave equations with double damping terms in exterior domains
- Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
- A general blow-up result on nonlinear boundary-value problems on exterior domains
- Biow-up of solutions of some nonlinear hyperbolic equations
- Behavior around isolated singularity for integral inequalities with multiple Riesz potentials
- Nonexistence results for systems of parabolic differential inequalities in 2D exterior domains
- The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain
- On the blow-up phenomenon for the mass-critical focusing Hartree equation in R4
- SOLITON DYNAMICS FOR THE SCHRÖDINGER–NEWTON SYSTEM
