## Found 671 Documents (Results 1–100)

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### Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition. (English)Zbl 07535493

MSC:  35L52 35L71
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### Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data. (English)Zbl 1483.35268

MSC:  35Q83 35M31 35B40
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### Pointwise decay for semilinear wave equations on Kerr spacetimes. (English)Zbl 07464297

MSC:  35B40 35L15 35L71
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### The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension. (English)Zbl 1479.35142

MSC:  35B44 35L15 35L71
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### Optimal $$L^p$$-$$L^q$$-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation. (English)Zbl 1481.35069

MSC:  35B40 35B45 35Q31
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### On the global existence of small data classical solutions to a semilinear wave equation with a time-dependent damping. (English)Zbl 07441978

MSC:  35L71 35B65 35L15
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### Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping. (English)Zbl 1472.35064

MSC:  35B44 35L15 35L70
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### Blow-up for wave equation with the scale-invariant damping and combined nonlinearities. (English)Zbl 1469.35055

MSC:  35B44 35L15 35L71
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### Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition. (English)Zbl 1469.35154

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 215-225 (2021).
MSC:  35L72 35L52 35B40
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### Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping. (English)Zbl 1469.35057

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 163-170 (2021).
MSC:  35B44 35L15 35L71
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### Singularly perturbed boundary value problems. A functional analytic approach. (English)Zbl 1481.35005

Cham: Springer (ISBN 978-3-030-76258-2/hbk; 978-3-030-76259-9/ebook). xvi, 672 p. (2021).
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### Global existence for semilinear wave equations with scaling invariant damping in 3-D. (English)Zbl 1466.35265

MSC:  35L71 35L15 35B40
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### Asymptotic behavior of global solutions to one-dimension quasilinear wave equations. (English)Zbl 1472.35244

MSC:  35L72 35B40 35L52
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### Asymptotic behavior of the solution to the Klein-Gordon-Zakharov model in dimension two. (English)Zbl 1464.35156

MSC:  35L52 35L72 35B40
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### Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. (English)Zbl 1458.76016

MSC:  76B15 35Q53 26A33
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### Semilinear mixed problems in exterior domains for $$\sigma$$-evolution equations with friction and coefficients depending on spatial variables. (English)Zbl 1458.35273

MSC:  35L71 35L15 35R11
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### Local well-posedness and small data scattering for energy super-critical nonlinear wave equations. (English)Zbl 1458.35270

MSC:  35L71 35L15 35B40
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### On initial-boundary value problems for one-dimension semilinear wave equations with null conditions. (English)Zbl 1455.35140

MSC:  35L15 35L53 35L71
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### Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum. (English)Zbl 1461.76033

MSC:  76A15 35Q35
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### Global existence of solutions for Cahn-Hilliard equation with inertial term. (Chinese. English summary)Zbl 1463.35006

MSC:  35A01 35A09 35L15
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### Decay of regular solutions for the critical 2D Zakharov-Kuznetsov equation posed on rectangles. (English)Zbl 1453.35031

MSC:  35B40 35G31 35Q53
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### Critical regularity of nonlinearities in semilinear classical damped wave equations. (English)Zbl 1450.35158

MSC:  35L15 35L71 35B44
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### Global existence of small data solutions to semi-linear fractional $$\sigma$$-evolution equations with mass and nonlinear memory. (English)Zbl 1450.35271

MSC:  35R11 35A01 35K15
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### Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems. (English)Zbl 1448.35328

MSC:  35L45 35L60 35B40
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### Semilinear wave models with friction and viscoelastic damping. (English)Zbl 1447.35211

MSC:  35L15 35L71
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### Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities. (English)Zbl 1471.35032

MSC:  35B35 35L52 35L71
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### On one-dimension quasilinear wave equations with null conditions. (English)Zbl 1441.35176

MSC:  35L72 35L52
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### Global existence and finite time blow up for the weighted semilinear wave equation. (English)Zbl 1439.35344

MSC:  35L71 35L15 35B44
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### Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case. (English)Zbl 1450.35174

MSC:  35L71 35L15 35A01
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### Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations. (English)Zbl 1441.35173

Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 55-84 (2019).
MSC:  35L71 35B40 35L15
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### Remarks on energy methods for structure-preserving finite difference schemes – small data global existence and unconditional error estimate. (English)Zbl 1428.74223

MSC:  74S20 65M06 65M15
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### Semilinear damped Klein-Gordon models with time-dependent coefficients. (English)Zbl 1428.35225

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 203-216 (2019).
MSC:  35L71 35L15
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### The critical exponent for evolution models with power non-linearity. (English)Zbl 1428.35060

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 153-177 (2019).
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### Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities. (English)Zbl 1428.35207

D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 97-128 (2019).
MSC:  35L52 35L71
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### A remark on global solutions to random 3D vorticity equations for small initial data. (English)Zbl 1420.60087

MSC:  60H15 82C28
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### $$L^\sigma$$-measure criteria for boundedness in a quasilinear parabolic-parabolic Keller-Segel system with supercritical sensitivity. (English)Zbl 1420.35121

MSC:  35K55 35B35 92C17
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### On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case. (English)Zbl 1418.35047

MSC:  35B44 35L15 35L71
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### Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D. (English)Zbl 1414.35126

MSC:  35L71 35L52
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### Global existence for semilinear damped wave equations in the scattering case. (English)Zbl 1424.35237

MSC:  35L05 35L15 35L71
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### Global and almost global existence for general quasilinear wave equations in two space dimensions. (English. French summary)Zbl 1411.35210

MSC:  35L72 35L15
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### Long time existence results for solutions of water waves equations. (English)Zbl 1448.76034

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2241-2260 (2018).
MSC:  76B15 35Q35
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### Algebra properties in Fourier-Besov spaces and their applications. (English)Zbl 1415.46026

MSC:  46E35 35Q30
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### On the division problem for the wave maps equation. (English)Zbl 1411.35198

MSC:  35L52 35L15
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### Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data. (Existence globale et comportement asymptotique de petites solutions pour des équation de Klein-Gordon critiques 1D.) (English. French summary)Zbl 1409.35146

MSC:  35L72 35L15
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### Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data. (English)Zbl 1394.35281

MSC:  35L70 35L52
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### Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data. (English)Zbl 1397.35149

MSC:  35L52 35L71
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